Question
Answer
$$(x+h-1)(x+2)=hx+x^2+2h+x-2$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(x+h-1)(x+2)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}x^2+2x+hx+2h-x-2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}hx+x^2+2h+x-2\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{x+h-1}\right) $ by each term in $ \left( x+2\right) $. $$ \left( \color{blue}{x+h-1}\right) \cdot \left( x+2\right) = x^2+2x+hx+2h-x-2 $$ |
| ② | Combine like terms: $$ x^2+ \color{blue}{2x} +hx+2h \color{blue}{-x} -2 = hx+x^2+2h+ \color{blue}{x} -2 $$ |
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