Question

Factorize: i. 3(x+2)2 – 5(x+2)+ 2 ii. x 6 + y6 iii. 3√3x 3 – 5√5y 3

Answer 1

Answer:

$i. {3(x + 2)}^{2} - 5(x + 2) + 2$

$|(x + 2) = a|$

$= 3 {a}^{2} - 5a + 2$

$=3{a}^{2} - 3a - 2 a + 2$

$=3a(a - 1) -2(a - 1)$

$=(3a - 2)(a - 1)$

=(3x+6-2)(x+2-1)

=(3x+4)(x+1)

$ii. {x}^{6} + {y}^{6}$

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

$( {x}^{2} + {y}^{2} )( {x}^{2} + xy + {y}^{2} )$