Question

$5 - (3 {x}^{2} - 2x)(3 {x}^{2} + 2x)$
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Answer 1

Step-by-step explanation:

Given :-

5-(3x²-2x)(3x²+2x)

To find :-

Factorise the expression ?

Solution :-

Given expression is 5-(3x²-2x)(3x²+2x)

(3x²-2x)(3x²+2x) is in the form (a+b)(a-b) .

Where , a = 3x² and b = 2x

We know that

(a+b)(a-b) = a²-b²

=> 5-[(3x²)²-(2x)²]

=> 5-(9x⁴-4x²)

=> 5-9x⁴-4x²

=> -9x⁴-4x²+5

=> -9x⁴-9x²+5x²+5

=> -9x²(x²+1)+5(x²+1)

=> (-9x²+5)(x²+1)

Answer:-

5-(3x²-2x)(3x²+2x) = (-9x²+5)(x²+1)

Used formulae:-

→ (a+b)(a-b) = a²-b²