Question

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

Answer 1

Answer:

4xy - 46y^2

Step-by-step explanation:

2(2x−5y)(3x+4y)−6(2x−y)(x−y)

Distribute:

=(2(2x−5y))(3x)+(2(2x−5y))(4y)+−12x^2+18xy+−6y^2

=12x^2+−30xy+16xy+−40y^2+−12x^2+18xy+−6y^2

Combine Like Terms:

=12x^2+−30xy+16xy+−40y^2+−12x^2+18xy+−6y^2

=(12x^2+−12x^2)+(−30xy+16xy+18xy)+(−40y^2+−6y^2)

=4xy+−46y^2

Answer:

=4xy−46y^2