Question

Show that
A (3x+7) square -84x = (3x-7) whole square
B (9p-5q)square +180pq =(9p+5q) whole square

Answer 1

(9p−5q)

2

+180pq=(9p+5q)

2

LHS=(9p)

2

−2(9p)(5q)+(5q)

2

+180pq

=81p

2

−90pq+25q

2

+180pq

=81p

2

+90pq+25q

2

RHS=(9p+5q)

2

=(9p)

2

+2(9p)(5q)+(5q)

2

=81p

2

+90pq+25q

2

LHS=RHS