Question

factorise:100(x+y)^2 -4(x-y)^2​

Answer 1

Answer:

100x

3

−25xy

2

=25x(x

2

−y

2

)

=25x{(x)

2

−(y)

2

}

=25x(x+y)(x−y)

Answer 2

Answer:16 • (3x + 2y) • (2x + 3y)

Step-by-step explanation: (100 • ((x + y)2)) -  4 • (x - y)2

100 • (x + y)2 -  4 • (x - y)2

3.1     Evaluate :  (x+y)2   =    x2+2xy+y2

3.2     Evaluate :  (x-y)2   =    x2-2xy+y2

4.1     Pull out like factors :

  96x2 + 208xy + 96y2  =   16 • (6x2 + 13xy + 6y2)

4.2    Factoring    6x2 + 13xy + 6y2

Try to factor this multi-variable trinomial using trial and error

Found a factorization  :  (3x + 2y)•(2x + 3y)

16 • (3x + 2y) • (2x + 3y)