Question

(ab2 + 4a2 + 6a2b2) − (−ab2 + 2a2b2 + 4a2)

Answer 1

For this case we have the following expression:

$(ab ^ 2 + 4a ^ 2 + 6a ^ 2b ^ 2) - (- ab ^ 2 + 2a ^ 2b ^ 2 + 4a ^ 2) =$

We must simplify taking into account that:

$- * - = +\\- * + = -$

So, we have:

$ab ^ 2 + 4a ^ 2 + 6a ^ 2b ^ 2 + ab ^ 2-2a ^ 2b ^ 2-4a ^ 2 =$

We add similar terms:

$ab ^ 2 + ab ^ 2 + 4a ^ 2-4a ^ 2 + 6a ^ 2b ^ 2-2a ^ 2b ^ 2 =\\2ab ^ 2 + 4a ^ 2b ^ 2$

Answer:

$2ab ^ 2 + 4a ^ 2b ^ 2$