Question

6p(p+q)-4q(q+p) x(x-y)+y(y-x) (1+x)(1-x)-(x-1)

Answer 1

6p(p+q)-4q(q+p)
=(6p-4q)(p+q)
=2(3p-2q)(p+q)
x(x-y)+y(y-x)
=(x-y)(x-y)
=(x-y)²;
(1+x)(1-x)-(x-1)
=(1-x)(1+x+1)
=(1-x)(x+2)
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Answer 2

6p(p+q)-4q(q+p)
=6p(p+q)-4q(p+q)
=2(p+q)(3p-2q)

x(x-y)+y(y-x)
=x(x-y)-y(x-y)
=(x-y)²

(1+x)(1-x)-(x-1)
=(1+x)(1-x)+(1-x)
=(1-x)(1+x+1)
=(1-x)(2+x)