Question
Answer
$$(5x-7)(5x+7)=25x^2-49$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(5x-7)(5x+7)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}25x^2+35x-35x-49 \xlongequal{ } \\[1 em] & \xlongequal{ }25x^2+ \cancel{35x} -\cancel{35x}-49 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}25x^2-49\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{5x-7}\right) $ by each term in $ \left( 5x+7\right) $. $$ \left( \color{blue}{5x-7}\right) \cdot \left( 5x+7\right) = 25x^2+ \cancel{35x} -\cancel{35x}-49 $$ |
| ② | Combine like terms: $$ 25x^2+ \, \color{blue}{ \cancel{35x}} \, \, \color{blue}{ -\cancel{35x}} \,-49 = 25x^2-49 $$ |
This page was created using
Simplify polynomials calculator