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Mode
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Least Common Multiple
Order of Operations
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Mixed Fractions
Prime Factorization
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Algebra
Combine Like Terms
Solve for a Variable
Factor
Expand
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Evaluate
21y^{5}+42y^{7}-56y^{8}
2
1
y
5
+
4
2
y
7
−
5
6
y
8
View solution steps
Solution Steps
( 6 y ^ { 2 } - 8 y ^ { 3 } + 3 ) 7 y ^ { 5 }
(
6
y
2
−
8
y
3
+
3
)
7
y
5
Use the distributive property to multiply 6y^{2}-8y^{3}+3 by 7.
Use the distributive property to multiply
6
y
2
−
8
y
3
+
3
by
7
.
\left(42y^{2}-56y^{3}+21\right)y^{5}
(
4
2
y
2
−
5
6
y
3
+
2
1
)
y
5
Use the distributive property to multiply 42y^{2}-56y^{3}+21 by y^{5}.
Use the distributive property to multiply
4
2
y
2
−
5
6
y
3
+
2
1
by
y
5
.
42y^{7}-56y^{8}+21y^{5}
4
2
y
7
−
5
6
y
8
+
2
1
y
5
Expand
21y^{5}+42y^{7}-56y^{8}
2
1
y
5
+
4
2
y
7
−
5
6
y
8
View solution steps
Solution Steps
( 6 y ^ { 2 } - 8 y ^ { 3 } + 3 ) 7 y ^ { 5 }
(
6
y
2
−
8
y
3
+
3
)
7
y
5
Use the distributive property to multiply 6y^{2}-8y^{3}+3 by 7.
Use the distributive property to multiply
6
y
2
−
8
y
3
+
3
by
7
.
\left(42y^{2}-56y^{3}+21\right)y^{5}
(
4
2
y
2
−
5
6
y
3
+
2
1
)
y
5
Use the distributive property to multiply 42y^{2}-56y^{3}+21 by y^{5}.
Use the distributive property to multiply
4
2
y
2
−
5
6
y
3
+
2
1
by
y
5
.
42y^{7}-56y^{8}+21y^{5}
4
2
y
7
−
5
6
y
8
+
2
1
y
5
Graph
Quiz
Polynomial
5 problems similar to:
( 6 y ^ { 2 } - 8 y ^ { 3 } + 3 ) 7 y ^ { 5 }
(
6
y
2
−
8
y
3
+
3
)
7
y
5
Similar Problems from Web Search
How do you find the greatest common factor of \displaystyle{6}{y}^{{2}}-{12}{y}^{{3}}+{36}{y}^{{4}} ?
How do you find the greatest common factor of
6
y
2
−
1
2
y
3
+
3
6
y
4
?
https://socratic.org/questions/how-do-you-find-the-greatest-common-factor-of-6y-2-12y-3-36y-4
\displaystyle{6}{y}^{{2}}{\left({1}-{2}{y}+{6}{y}^{{2}}\right)} Explanation: Put \displaystyle{6}{y}^{{2}} into common factor --> \displaystyle{6}{y}^{{2}}-{12}{y}{3}+{36}{y}^{{4}}={6}{y}^{{2}}{\left({1}-{2}{y}+{6}{y}^{{2}}\right)}
6
y
2
(
1
−
2
y
+
6
y
2
)
Explanation: Put
6
y
2
into common factor -->
6
y
2
−
1
2
y
3
+
3
6
y
4
=
6
y
2
(
1
−
2
y
+
6
y
2
)
y^3+3y^2-4y-12=0
y
3
+
3
y
2
−
4
y
−
1
2
=
0
https://www.tiger-algebra.com/drill/y~3_3y~2-4y-12=0/
y3+3y2-4y-12=0 Three solutions were found : y = -3 y = 2 y = -2 Step by step solution : Step 1 :Equation at the end of step 1 : (((y3) + 3y2) - 4y) - 12 = 0 Step 2 :Checking for a ...
y3+3y2-4y-12=0 Three solutions were found : y = -3 y = 2 y = -2 Step by step solution : Step 1 :Equation at the end of step 1 : (((y3) + 3y2) - 4y) - 12 = 0 Step 2 :Checking for a ...
8y^5-38y^4-10y^2
8
y
5
−
3
8
y
4
−
1
0
y
2
https://www.tiger-algebra.com/drill/8y~5-38y~4-10y~2/
8y5-38y4-10y2 Final result : 2y2 • (4y3 - 19y2 - 5) Step by step solution : Step 1 :Equation at the end of step 1 : ((8•(y5))-(38•(y4)))-(2•5y2) Step 2 :Equation at the end of step 2 : ((8 • ...
8y5-38y4-10y2 Final result : 2y2 • (4y3 - 19y2 - 5) Step by step solution : Step 1 :Equation at the end of step 1 : ((8•(y5))-(38•(y4)))-(2•5y2) Step 2 :Equation at the end of step 2 : ((8 • ...
y^3+3y^2-16y-1
y
3
+
3
y
2
−
1
6
y
−
1
https://www.tiger-algebra.com/drill/y~3_3y~2-16y-1/
y3+3y2-16y-1 Final result : y3 + 3y2 - 16y - 1 Step by step solution : Step 1 :Equation at the end of step 1 : (((y3) + 3y2) - 16y) - 1 Step 2 :Checking for a perfect cube : ...
y3+3y2-16y-1 Final result : y3 + 3y2 - 16y - 1 Step by step solution : Step 1 :Equation at the end of step 1 : (((y3) + 3y2) - 16y) - 1 Step 2 :Checking for a perfect cube : ...
y^3+3y^2-5y-15
y
3
+
3
y
2
−
5
y
−
1
5
https://www.tiger-algebra.com/drill/y~3_3y~2-5y-15/
y3+3y2-5y-15 Final result : (y2 - 5) • (y + 3) Step by step solution : Step 1 :Equation at the end of step 1 : (((y3) + 3y2) - 5y) - 15 Step 2 :Checking for a perfect cube : ...
y3+3y2-5y-15 Final result : (y2 - 5) • (y + 3) Step by step solution : Step 1 :Equation at the end of step 1 : (((y3) + 3y2) - 5y) - 15 Step 2 :Checking for a perfect cube : ...
How do you write \displaystyle-{y}^{{3}}+{3}{y}-{3}{y}^{{2}}+{2} in standard form and what is the leading coefficients?
How do you write
−
y
3
+
3
y
−
3
y
2
+
2
in standard form and what is the leading coefficients?
https://socratic.org/questions/how-do-you-write-y-3-3y-3y-2-2-in-standard-form-and-what-is-the-leading-coeffici
\displaystyle-{y}^{{3}}-{3}{y}^{{2}}+{3}{y}+{2} The leading coefficient is \displaystyle-{1} . Explanation: A polynomial in standard form lists the terms from left to right by descending ...
−
y
3
−
3
y
2
+
3
y
+
2
The leading coefficient is
−
1
. Explanation: A polynomial in standard form lists the terms from left to right by descending ...
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\left(42y^{2}-56y^{3}+21\right)y^{5}
Use the distributive property to multiply 6y^{2}-8y^{3}+3 by 7.
42y^{7}-56y^{8}+21y^{5}
Use the distributive property to multiply 42y^{2}-56y^{3}+21 by y^{5}.
\left(42y^{2}-56y^{3}+21\right)y^{5}
Use the distributive property to multiply 6y^{2}-8y^{3}+3 by 7.
42y^{7}-56y^{8}+21y^{5}
Use the distributive property to multiply 42y^{2}-56y^{3}+21 by y^{5}.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
x
2
−
4
x
−
5
=
0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
4
sin
θ
cos
θ
=
2
sin
θ
Linear equation
y = 3x + 4
y
=
3
x
+
4
Arithmetic
699 * 533
6
9
9
∗
5
3
3
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
[
2
5
3
4
]
[
2
−
1
0
1
3
5
]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
{
8
x
+
2
y
=
4
6
7
x
+
3
y
=
4
7
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
d
x
d
(
x
−
5
)
(
3
x
2
−
2
)
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
∫
0
1
x
e
−
x
2
d
x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}
x
→
−
3
lim
x
2
+
2
x
−
3
x
2
−
9
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