Question

factorise 9y³x²+18x³y²+21x²y²+42x³y​

Answer 1

Question:-

Factorise the polynomial.

Solution:-

$\sf 9 {x}^{2} {y}^{3} + 18 {x}^{3} {y}^{2 } + 21 {x}^{2} {y}^{2} + 42 {x}^{3} y$

$\sf = 9 {x}^{2} {y}^{2} (y + 2x) + 21 {x}^{2}y(y + 2x)$

$\sf = (2x + y)(9 {x}^{2} {y}^{2} + 21 {x}^{2} y)$

$\sf = (2x + y)(3 {x}^{2} y(3y + 7))$

$\sf = 3 {x}^{2} y(2x + y)(3y + 7)$

Hence, the required answer is

$\sf = 3 {x}^{2} y(2x + y)(3y + 7)$