Question

Factorise : (i) 6x^3 - 8x^2 (ii) 35a^3b^2c + 42ab^2c^2

Answer 1

Simply take out the common terms!!

Here's the solution :

i) ${6x}^{3} - 8 {x}^{2}$

$on \: taking \: {2x}^{2} common$

${2x}^{2} (3x - 4)$

So, the roots are :
${2x}^{2} = 0$
$3x - 4 = 0$

.........................

ii) $35 {a}^{3} b^{2}c + 42ab^{2} {c}^{2}$

$on \: taking \: 7a {b}^{2}c \: common$

$7a {b}^{2}c(5a^{2} + 6c)$

So, the roots are

$7a{b}^{2} c = 0$
$5 {a}^{2} + 6c \: = 0$