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

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

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

Answer»

Answer:

heya mate ☺

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

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