Question

Factorize the following...

(i) 3x + 2xy.

(ii) a^3 + 7b^3.

(iii) x^5 + x^2.

Evaluate
(i) 989^2.
(ii) 88^2.

Note : answer should be well explained.. Step by step.
Lazy answers will be report..
Do answer of each Question.

15 points...

Answer 1

All right, let's go step by step

1) $3x + 2xy$

Taking x as common, we get:

$x(3+2y)$

2) $a^3+7b^3$

This has no common factors and can't be factorised furthur.

3) $x^5 + x^2$

Taking $x^{2}$ as common, we get:

$x^{2}(x^{3} + 1)$

Evaluate:

Now $<span>989^{2}$ = $(100-11)^{2}$

$(a-b)^{2} = a^{2} + b^{2} - 2ab$

Hence we get: $100^{2} + 11^{2} - 2(100)(11) = 978121$

Similarly 

88^2 = $(100 - 12)^{2} = 100^2 + 12^2 - 2(100)(12) = 7744$