Question

Factorise the following:
4(x-y)2 - 16(x+y) 2

Answer 1

Answer:

-4(2x² + 3y² + 10xy) is the answer

Step-by-step explanation:

4(x-y)² - 16(x +y) ²

= 4(x² + y² - 2xy) - 16 (x² + y² + 2xy)

= 4x² + 4y² -8xy -16x² -16y² -32xy

= -8x² -12y² - 40xy

= -4(2x² + 3y² + 10xy)

Answer 2

Answer:

Step-by-step explanation:

step 1)4 • ((x + y)^2)) -  16 • (x - y)^2

step2)   Evaluate :  (x+y)^2   =   x^2+2xy+y^2

step3)    Evaluate :  (x-y)^2   =   x^2-2xy+y^2

step4)     4x^2-8xy+4y^2-16x^2-32xy-4y^2

step5)     -(12x^2+40xy-12y^2)

step6)     take common outside

step7)  -4(3x^2 - 10xy + 3y^2)    

step8)    split the middle term

step9)   -4(3x^2+9xy-xy+3y^2)

step10)   -4[3x(x+3y)-y(x+3y)]

step11)    -4(x+3y)(3x-y))