Consider the given #10;expression, #10; #10; ⇒ #10;2a^2b^2+ab 45 #10; #10;Let, x=ab #10; #10;Now, #10; #10; ⇒ #10;2x^2+x 45 ...

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Finding Square of a Number Using Identity

Solve : 2a2...

Question

Solve : $2 a^{2} b^{2} + a b - 45$

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Solution

Consider the given expression,

$\Rightarrow 2 a^{2} b^{2} + a b - 45$

Let, $x = a b$

Now,

$\Rightarrow 2 x^{2} + x - 45$

$\Rightarrow 2 x^{2} + 10 x - 9 x - 45$

$\Rightarrow 2 x (x + 5) - 9 (x + 5)$

$\Rightarrow (x + 5) (2 x - 9)$

Put the value of x,

$\Rightarrow (a b + 5) (2 a b - 9)$

Hence, this is the answer.

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