Question

Factorise the following

Answer 1

$\textbf{ \huge{ Hello Mate! }}$

$15)\: 3 - 10x - 13 {x}^{2} \\ = -1 3 {x}^{2} - 10x + 3 \\ = - 13 {x}^{2} - 13x + 3x + 3 \\ = - 13x(x + 1) + 3(x + 1) \\ = (x + 1)(3 - 13x)$
$18) {(3x + 2y)}^{2} - 5(3x + 2y) - 14 \\ let \: a \: = (3x + 2y) \\ = {a}^{2} - 5a - 14 \\ = {a}^{2} - 7a + 2a - 14 \\ = a(a - 7) + 2(a - 7) \\ = (a + 2)(a - 7)$

= Substituting values we get,

= ( 3x + 2y + 2 )( 3x + 2y - 7 )

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Answer 2

3-10x-13x²we have to factorise.

Solution:- Firstly,

(13x²× 3)¶=39x²and keep it at rough n.book.

3-13x+3x-13x²

=1(3-13x)+x(3-13x)

Now,(x+1)(3-13x)