Question

Factorize
2x^2 + 11√2x + 30​

Answer 1

Step-by-step explanation:

Given:-

2x^2 + 11√2x + 30

To find:-

Factorise the expression 2x^2 + 11√2x + 30

Solution:-

Method-1:-

Given ecperssion is 2x^2 + 11√2x + 30

=>2 x^2 + 5√2 x +6√2 x + 30

=>√2 x ( √2 x + 5 ) + 6 ( √2 x + 5 )

=>( √2 x + 5 ) ( √2 x + 6)

2x^2 + 11√2x + 30 = ( √2 x + 5 ) ( √2 x + 6)

Method -2:-

Given ecperssion is 2x^2 + 11√2x + 30

=>2x^2 + 11√2x + (15×2)

=>[(√2 ×√2) x^2 + 11 √2 x + (15 × √2 ×√2) )]

=>√2[√2x^2 +11x +15√2]

=>√2 [√2x^2+6x+5x+15√2]

=>√2[√2x(x+3√2)+5(x+3√2)]

=>√2(√2x+5)(x+3√2)

2x^2 + 11√2x + 30 = √2(√2x+5)(x+3√2)

Answer:-

2x^2 + 11√2x + 30 = √2(√2x+5)(x+3√2)

(or)

2x^2 + 11√2x + 30 = ( √2 x + 5 ) ( √2 x + 6)