We have, 36x^2 (x y)^2 ⇒ (6x)^2 (x y)^2 Since, a^2 b^2=(a+b)(a b) Therefore, ⇒ (6x+x y)(6x x+y) ⇒ (7 y)(5x+y) Hence, this is the answer. ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Types of Expressions Based on the Number of Terms

Solve: 36x2 ...

Question

Solve:
$36 x^{2} - (x - y)^{2}$

Open in App

Solution

We have,
$36 x^{2} - (x - y)^{2}$

$\Rightarrow (6 x)^{2} - (x - y)^{2}$

Since,
$a^{2} - b^{2} = (a + b) (a - b)$

Therefore,
$\Rightarrow (6 x + x - y) (6 x - x + y)$

$\Rightarrow (7 - y) (5 x + y)$

Hence, this is the answer.

Suggest Corrections

Similar questions

x

l o g_{(2 x + 3)} (6 x^{2} + 23 x + 21) = 4 - l o g_{(3 x + 7)} (4 x^{2} + 12 x + 9)

36 x^{2} - 12 a x + (a^{2} - b^{2}) = 0

{log}_{3 x + 7} (9 + 12 x + 4 x^{2}) + {log}_{2 x + 3} (6 x^{2} + 23 x + 21) = 4

8 x^{3} - 36 x^{2} - 18 x + 18 = 0

(x + y)^{2} + (x - y)^{2}

Join BYJU'S Learning Program