Question

Factorize:
5√5 x²+20x+3√5

Answer 1

Answer:

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Answer 2

Concept :  

Here we factorise it by splitting the middle term.

• To factorise quadratic polynomials of the type ax² + bx + c by middle term splitting ,write b as the sum of two numbers whose product is ac.
• To factorise ax² + bx - c & ax²- bx - c , write b as the difference of two numbers whose product is - ac.

Given : 5√5 x² + 20x + 3√5

= 5√5 x² + 15x + 5x + 3√5

= 5x(√5x + 3) + √5 (√5x + 3)

= (5x +√5) (√5x + 3)

5√5 x² + 20x + 3√5 = (5x +√5) (√5x + 3)

Hence, the factorisation of  5√5 x² + 20x + 3√5 is  (5x +√5) (√5x + 3).

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