Answer
$$ a^{2}+2ab+b^{2}$$
$$ a^{2}-2ab+b^{2}$$
$$ a^{3}+3a^{2}b+3ab^{2}+b^{3}$$
$$ a^{3}-3a^{2}+3ab^{2}-b^{3}$$
$$ a^{2}-b^{2}$$
$$ x^{2}+10x+25$$
$$ x^{2}-25$$
Work Step by Step
(i) $$(a+b)^{2}$$ $$(a+b)(a+b)$$ $$a^{2}+ab+ab+b^{2}$$
$$Answer: a^{2}+2ab+b^{2}$$
(ii) $$(a-b)^{2}$$ $$(a-b)(a-b)$$ $$a^{2}-ab-ab+b^{2}$$
$$Answer: a^{2}-2ab+b^{2}$$
(iii) $$(a+b)^{3}$$
$$Answer: a^{3}+3a^{2}b+3ab^{2}+b^{3}$$
(iv) $$(a-b)^{3}$$
$$Answer: a^{3}-3a^{2}+3ab^{2}-b^{3}$$
(v) $$(a+b)(a-b)$$
$$Answer: a^{2}-b^{2}$$
EXPAND
$$(x+5)^{2}$$
$$Answer: x^{2}+10x+25$$
$$(x+5)(x-5)$$
$$Answer: x^{2}-25$$