Question

(a-4)(a+6)+(a-10)(a-2)​

Answer 1

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Answer 2

To simplify the given expression $(a-4)(a+6)+(a-10)(a-2)$, let's distribute and then combine like terms:

$$\begin{align*} &(a-4)(a+6) + (a-10)(a-2) \\ &= a(a+6) - 4(a+6) + a(a-2) - 10(a-2) \\ &= a^2 + 6a - 4a - 24 + a^2 - 2a - 10a + 20 \\ &= 2a^2 - 10a - 4. \end{align*}$$

So, $(a-4)(a+6) + (a-10)(a-2)$ simplifies to $2a^2 - 10a - 4$.