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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
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Evaluate
-\left(x-4\right)^{2}+5
View solution steps
Solution Steps
5- { \left(x-4 \right) }^{ 2 }
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-4\right)^{2}.
5-\left(x^{2}-8x+16\right)
To find the opposite of x^{2}-8x+16, find the opposite of each term.
5-x^{2}+8x-16
Subtract 16 from 5 to get -11.
-11-x^{2}+8x
Expand
-x^{2}+8x-11
View solution steps
Solution Steps
5- { \left(x-4 \right) }^{ 2 }
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-4\right)^{2}.
5-\left(x^{2}-8x+16\right)
To find the opposite of x^{2}-8x+16, find the opposite of each term.
5-x^{2}+8x-16
Subtract 16 from 5 to get -11.
-11-x^{2}+8x
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Quiz
Polynomial
5 problems similar to:
5- { \left(x-4 \right) }^{ 2 }
Similar Problems from Web Search
How do you expand \displaystyle{\left({5}{x}-{4}\right)}^{{2}} ?
https://socratic.org/questions/how-do-you-expand-5x-4-2
\displaystyle{\left({5}{x}-{4}\right)}^{{2}}={25}{x}^{{2}}-{40}{x}+{16} Explanation: To expand this polynomial I used the formula: \displaystyle{\left({a}-{b}\right)}^{{2}}={a}^{{2}}-{2}{a}{b}+{b}^{{2}} ...
(x-4)^2=0
https://www.tiger-algebra.com/drill/(x-4)~2=0/
(x-4)2=0 One solution was found : x = 4 Step by step solution : Step 1 :Equation at the end of step 1 : (x - 4)2 = 0 Step 2 :Solving a Single Variable Equation : ...
(x-4)^2=1
https://www.tiger-algebra.com/drill/(x-4)~2=1/
(x-4)2=1 Two solutions were found : x = 5 x = 3 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : ...
(x-4)^2=30
https://www.tiger-algebra.com/drill/(x-4)~2=30/
(x-4)2=30 Two solutions were found : x =(8-√120)/2=4-√ 30 = -1.477 x =(8+√120)/2=4+√ 30 = 9.477 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from ...
(x-4)^2=36
http://www.tiger-algebra.com/drill/(x-4)~2=36/
(x-4)2=36 Two solutions were found : x = 10 x = -2 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : ...
In \displaystyle{4}^{{{2}{x}}}={16} , how do we solve for x?
https://socratic.org/questions/in-4-2x-16-how-do-we-solve-for-x
\displaystyle{\left({x}={1}\right)} Explanation: Since \displaystyle{\left(\text{XXX}\right)}{16}={4}^{{2}} \displaystyle{4}^{{{2}{x}}}={16} implies \displaystyle{4}^{{{2}{x}}}={4}^{{2}} ...
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5-\left(x^{2}-8x+16\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-4\right)^{2}.
5-x^{2}+8x-16
To find the opposite of x^{2}-8x+16, find the opposite of each term.
-11-x^{2}+8x
Subtract 16 from 5 to get -11.
5-\left(x^{2}-8x+16\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-4\right)^{2}.
5-x^{2}+8x-16
To find the opposite of x^{2}-8x+16, find the opposite of each term.
-11-x^{2}+8x
Subtract 16 from 5 to get -11.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
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]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}
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