Question

Factorise: 2(2x-3y)(3x+4y)-6(2x-5y)(x-y)​

Answer 1

Answer:

14 (2x - 5y) y

Step-by-step explanation:

Given : 2(2x-5y)(3x+4y)-6(2x-5y)(x-y)

To Find :Factorize by taking common factor

Solution:

2(2x-5y)(3x+4y)-6(2x-5y)(x-y)

=2 (2x - 5y) (3x + 4y) - 6 (2x - 5y) (x - y)

= (2x - 5y) {2 (3x + 4y) - 6 (x - y)}

= (2x - 5y) (6x + 8y - 6x + 6y)

= (2x - 5y) (14y)

= 14 (2x - 5y) y,

Hence the factorized form is 14 (2x - 5y) y,

Answer 2

Step-by-step explanation:

(4x-6y×3x+4y)-(12x-30y×x-y)

(12x×(-24y)-(12x-(-30y)

(12x-12x)(-30y-24y)

-6y

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