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Topics
Pre-Algebra
Mean
Mode
Greatest Common Factor
Least Common Multiple
Order of Operations
Fractions
Mixed Fractions
Prime Factorization
Exponents
Radicals
Algebra
Combine Like Terms
Solve for a Variable
Factor
Expand
Evaluate Fractions
Linear Equations
Quadratic Equations
Inequalities
Systems of Equations
Matrices
Trigonometry
Simplify
Evaluate
Graphs
Solve Equations
Calculus
Derivatives
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2x^{3}-24x^{2}+72x
2
x
3
−
2
4
x
2
+
7
2
x
View solution steps
Solution Steps
2x{(x-6)}^{2}
2
x
(
x
−
6
)
2
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-6\right)^{2}.
Use binomial theorem
(
a
−
b
)
2
=
a
2
−
2
a
b
+
b
2
to expand
(
x
−
6
)
2
.
2x\left(x^{2}-12x+36\right)
2
x
(
x
2
−
1
2
x
+
3
6
)
Use the distributive property to multiply 2x by x^{2}-12x+36.
Use the distributive property to multiply
2
x
by
x
2
−
1
2
x
+
3
6
.
2x^{3}-24x^{2}+72x
2
x
3
−
2
4
x
2
+
7
2
x
Evaluate
2x\left(x-6\right)^{2}
2
x
(
x
−
6
)
2
View solution steps
Solution Steps
2x{(x-6)}^{2}
2
x
(
x
−
6
)
2
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-6\right)^{2}.
Use binomial theorem
(
a
−
b
)
2
=
a
2
−
2
a
b
+
b
2
to expand
(
x
−
6
)
2
.
2x\left(x^{2}-12x+36\right)
2
x
(
x
2
−
1
2
x
+
3
6
)
Use the distributive property to multiply 2x by x^{2}-12x+36.
Use the distributive property to multiply
2
x
by
x
2
−
1
2
x
+
3
6
.
2x^{3}-24x^{2}+72x
2
x
3
−
2
4
x
2
+
7
2
x
Graph
Quiz
Polynomial
5 problems similar to:
2x{(x-6)}^{2}
2
x
(
x
−
6
)
2
Similar Problems from Web Search
How do you solve \displaystyle{\left({x}-{6}\right)}^{{2}}={25} ?
How do you solve
(
x
−
6
)
2
=
2
5
?
https://socratic.org/questions/how-do-you-solve-x-6-2-25
\displaystyle{x}={1} or \displaystyle{x}={11} Explanation: Rewriting \displaystyle{\left({x}-{6}\right)}^{{2}}={25} as \displaystyle{\left({x}-{6}\right)}^{{2}}-{5}^{{2}}={0} we ...
x
=
1
or
x
=
1
1
Explanation: Rewriting
(
x
−
6
)
2
=
2
5
as
(
x
−
6
)
2
−
5
2
=
0
we ...
(x-6)^2=7
(
x
−
6
)
2
=
7
https://www.tiger-algebra.com/drill/(x-6)~2=7/
(x-6)2=7 Two solutions were found : x =(12-√28)/2=6-√ 7 = 3.354 x =(12+√28)/2=6+√ 7 = 8.646 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both ...
(x-6)2=7 Two solutions were found : x =(12-√28)/2=6-√ 7 = 3.354 x =(12+√28)/2=6+√ 7 = 8.646 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both ...
x(x-6)^2=0
x
(
x
−
6
)
2
=
0
https://www.tiger-algebra.com/drill/x(x-6)~2=0/
x(x-6)2=0 Two solutions were found : x = 6 x = 0 Step by step solution : Step 1 :Equation at the end of step 1 : x • (x - 6)2 = 0 Step 2 :Theory - Roots of a product : 2.1 A product ...
x(x-6)2=0 Two solutions were found : x = 6 x = 0 Step by step solution : Step 1 :Equation at the end of step 1 : x • (x - 6)2 = 0 Step 2 :Theory - Roots of a product : 2.1 A product ...
\displaystyle{\left({x}-{5}\right)}^{{2}}={8} ?
(
x
−
5
)
2
=
8
?
https://socratic.org/questions/x-5-2-8
\displaystyle{x}={5}\pm{2}\sqrt{{{2}}} Explanation: Given: \displaystyle{\left({x}-{5}\right)}^{{2}}={8} Note that both \displaystyle{2}\sqrt{{{2}}} and \displaystyle-{2}\sqrt{{{2}}} ...
x
=
5
±
2
2
Explanation: Given:
(
x
−
5
)
2
=
8
Note that both
2
2
and
−
2
2
...
(7x-6)^2=6
(
7
x
−
6
)
2
=
6
https://www.tiger-algebra.com/drill/(7x-6)~2=6/
(7x-6)2=6 Two solutions were found : x =(84-√1176)/98=(6-√ 6 )/7= 0.507 x =(84+√1176)/98=(6+√ 6 )/7= 1.207 Rearrange: Rearrange the equation by subtracting what is to the right of the equal ...
(7x-6)2=6 Two solutions were found : x =(84-√1176)/98=(6-√ 6 )/7= 0.507 x =(84+√1176)/98=(6+√ 6 )/7= 1.207 Rearrange: Rearrange the equation by subtracting what is to the right of the equal ...
How do you solve \displaystyle{\left({x}-{6}\right)}^{{2}}={19} ?
How do you solve
(
x
−
6
)
2
=
1
9
?
https://socratic.org/questions/how-do-you-solve-x-6-2-19
\displaystyle{x}={6}+\sqrt{{19}},{6}-\sqrt{{19}} Explanation: \displaystyle{\left({x}-{6}\right)}^{{2}}={19} Take the square root of both sides. \displaystyle{x}-{6}=\pm\sqrt{{19}} ...
x
=
6
+
1
9
,
6
−
1
9
Explanation:
(
x
−
6
)
2
=
1
9
Take the square root of both sides.
x
−
6
=
±
1
9
...
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2x\left(x^{2}-12x+36\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-6\right)^{2}.
2x^{3}-24x^{2}+72x
Use the distributive property to multiply 2x by x^{2}-12x+36.
2x\left(x^{2}-12x+36\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-6\right)^{2}.
2x^{3}-24x^{2}+72x
Use the distributive property to multiply 2x by x^{2}-12x+36.
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