Question

Factorise by taking out the common factors :
1.) 2(2x - 5y) (3x + 4y) - 6(2x - 5y) (x - y)
​

Answer 1

Answer:

heya mate ☺

$2(2x - 5y)(3x + 4y) - 6(2x - 5y)(x - y) \\ = (4x - 10y)(3x + 4y) - (12x - 30y)(x - y) \\ = (12x ^{2} + 16xy - 30xy - 40y ^{2} ) - (12x ^{2} - 12xy - 30xy + 30y ^{2} ) \\ = (12x ^{2} - 14xy - 40y^{2} ) - (12x ^{2} - 42xy + 30y ^{2} ) \\ = 12x^{2} - 14xy - 40y^{2} - 12x ^{2} + 42xy - 30y ^{2} \\ = 12x ^{2} - 12x ^{2} - 40y ^{2} - 30y^{2} - 14xy + 42xy \\ = - 40y ^{2} - 30y ^{2} - 14xy + 42xy \\ = - 70y ^{2} + 28xy \\ = 7y( - 10y + 4x)$

↔ scroll to see it properly ↔

♡ hope it helps u ♡