Question
Answer
$$(5x+8)(5x-8)=25x^2-64$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(5x+8)(5x-8)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}25x^2-40x+40x-64 \xlongequal{ } \\[1 em] & \xlongequal{ }25x^2 -\cancel{40x}+ \cancel{40x}-64 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}25x^2-64\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{5x+8}\right) $ by each term in $ \left( 5x-8\right) $. $$ \left( \color{blue}{5x+8}\right) \cdot \left( 5x-8\right) = 25x^2 -\cancel{40x}+ \cancel{40x}-64 $$ |
| ② | Combine like terms: $$ 25x^2 \, \color{blue}{ -\cancel{40x}} \,+ \, \color{blue}{ \cancel{40x}} \,-64 = 25x^2-64 $$ |
This page was created using
Simplify polynomials calculator