Question
Find the product of the following binomial:
$\left(a^2+b c\right)\left(a^2-b c\right)$
$\left(a^2+b c\right)\left(a^2-b c\right)$
✓
Answer
We will use the identify $(a+b)^2=a^2+2 a b+b^2$ in the given expression to find the product.
$\left(a^2+b c\right)\left(a^2-b c\right)$
$=\left(a^2\right)^2-(b c)^2$
$=a^4-b^2 c^2$
$\left(a^2+b c\right)\left(a^2-b c\right)$
$=\left(a^2\right)^2-(b c)^2$
$=a^4-b^2 c^2$
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