Factorize:

$2 (x + y)^{2} - 9 (x + y) - 5$

Open in App

Solution

$2 (x + y)^{2} - 9 (x + y) - 5$
Let $x + y = a$ , then
$2 a^{2} - 9 a - 5 ⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} ∵ 2 \times (- 5) = - 10 - 10 = - 10 \times 1 - 9 = - 10 + 1 \end{matrix} ⎫ ⎪ ⎬ ⎪ ⎭ = 2 a^{2} - 10 a + a - 5 = 2 a (a - 5) + 1 (a - 5) = (a - 5) (2 a + 1) = (x + y - 5) (2 x + 2 y + 1)$

Suggest Corrections

Similar questions

(x + y)^{2} + 9 (x + y) + 8

(1) x^{3} - {2 x}^{2} - x + 2 (2) x^{3} - {3 x}^{2} - 9 x - 5 (3) x^{3} + {13 x}^{2} + 32 x + 20 (4) y^{3} + y^{2} - y - 1

Factorise 2(x+y)^2 - 9 (x+y) - 5

2 x^{2} + 9 x + 10

Join BYJU'S Learning Program