Question

factorise the following expression. (i). x2+12x+36​

Answer 1

Given : The Expression : x² + 12x + 36

Need To Factorise : The Expression : x² + 12x + 36

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀

$\qquad \dag\:\:\bigg\lgroup \sf{ Expression \:\:= \:x^2 + 12x + 36 }\bigg\rgroup$

$\large{\gray{\bf{ Let's \:Factorise \:the\:given \:Expression \: : }}}$

$\qquad \longmapsto \sf x^2 + 12x + 36$

⠀⠀⠀⠀⠀By Using Sum - Product Pattern :

$\qquad \longmapsto \sf x^2 + 12x + 36$

$\qquad \longmapsto \sf x^2 + 6x + 6x + 36$

⠀⠀⠀⠀⠀Finding out Common Factors in both terms :

$\qquad \longmapsto \sf x^2 + 6x + 6x + 36$

$\qquad \longmapsto \sf x( x + 6 ) + 6 ( x + 6 )$

⠀⠀⠀⠀⠀Now By , Rewrite in Factored term :

$\qquad \longmapsto \sf x( x + 6 ) + 6 ( x + 6 )$

$\qquad \longmapsto \frak{\underline{\purple{\:(x+6)\:\:(x+6) }} }\bigstar$

Therefore,

⠀⠀⠀⠀⠀$\therefore {\underline{ \mathrm {\:Factors \:are\:\bf{(x+6)\:\:(x + 6) }}}}$

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀

Answer 2

$\sf\underline\pink{Question}$

• Factorise : x² + 12x + 36

$\sf\underline\purple{Step-by-step \:Solution}$

$\qquad \longmapsto \sf x^2 + 12x + 36$

⠀⠀⠀⠀By USING SUM - PRODUCT PATTERN :

$\qquad \longmapsto \sf x^2 + 12x + 36$

$\qquad \longmapsto \sf x^2 + 6x + 6x + 36$

⠀⠀⠀⠀⠀Finding out common Factors in both terms :

$\qquad \longmapsto \sf x^2 + 6x + 6x + 36$

$\qquad \longmapsto \sf x( x + 6 ) + 6 ( x + 6 )$

⠀⠀⠀⠀⠀Now By , Rewrite in Factored term :

$\qquad \longmapsto \sf x( x + 6 ) + 6 ( x + 6 )$

$\qquad \longmapsto \frak{\underline{\red{\:(x+6)\:\:(x+6) }} }\bigstar$

Therefore,

⠀⠀⠀⠀⠀$\therefore {\underline{ \mathrm {\:Factors \:are\:\bf{(x+6)\:\:(x + 6) }}}}$

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀