Question

(y-4) (x+2) + (y-4) (x+1)
Factorise the following by taking out common factor
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Answer 1

Step-by-step explanation:

(y−4)(x+2)+(y−4)(x+1)

Distribute:

=(y)(x)+(y)(2)+(−4)(x)+(−4)(2)+(y)(x)+(y)(1)+(−4)(x)+(−4)(1)

=xy+2y+−4x+−8+xy+y+−4x+−4

Combine Like Terms:

=xy+2y+−4x+−8+xy+y+−4x+−4

=(xy+xy)+(−4x+−4x)+(2y+y)+(−8+−4)

=2xy+−8x+3y+−12

Answer:

=2xy−8x+3y−12