Question

1. Factorise each of the following:
a) p square + 11p + 18
​

Answer 1

Answer:

$\huge \tt \underline \pink{ANSWER :-(p+2) (p+9)}$

Step-by-step explanation:

= p^2 + 11p + 18

= p^2 + ( 9p + 2p ) + 18

= p^2 + 9p + 2p + 18

= p ( p + 9 ) + 2 ( p + 9 )

= ( p + 2 ) ( p + 9 )

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Answer 2

$\huge\bf\underline\red{Answer !!!!!}$

(p + 2)(p + 9)

Step-by-step explanation:

Given :-

⠀⠀⠀${p}^{2} + 11p + 18$

Factorisation :-

We will use identity :-

⠀$(x + a)(x + b) = >> \\ {x}^{2} + (a + b)x + ab$

⠀

⠀⠀

⠀♡${p}^{2} + 9p + 2p + 18$

⠀⠀

⠀

⠀⠀ ♡$( {p}^{2} + 9p)(2p + 18)$

⠀⠀

⠀

⠀⠀ ⠀⠀⠀⠀♡$p(p + 9) + 2(p + 9)$

⠀

⠀⠀

⠀⠀⠀ ⠀⠀⠀ ⠀⠀ ⠀⠀⠀⠀♡$(p + 2)(p + 9)$ ⠀

⠀⠀