Question

Factorise
1] x² + 9x + 45

2] y² + 11y + 30

3] x² + 6x + 8

Note :-
Dont copy​

Answer 1

Here is your answer.

2nd and 3rd refer attachment First is not factorised .

Hope it's help you.

Answer 2

$\textrm{x \rm{^2} + 9x + 45 cannot be factored}$

$\rule{315}{2}$

$\textrm{y ^2 + 11y + 30 = y ^2 + 6y + 5y + 30}$

$\longrightarrow\textrm{y ^2 + 11y + 30 = y(y + 6) + 5(y + 6)}$

$\longrightarrow\textrm{y ^2 + 11y + 30 = (y + 5)(y + 6)}$

$\rule{315}{2}$

$\textrm{x \rm{^2} + 6x + 8 = x \rm{^2} + 4x + 2x + 8}$

$\longrightarrow\textrm{x \rm{^2} + 6x + 8 = x(x + 4) + 2(x + 4)}$

$\longrightarrow\textrm{x \rm{^2} + 6x + 8 = (x + 2)(x + 4)}$