Question

simplify (2.5p-1.5q)²-(1.5p-2.5q)²​

Answer 1

Answer:

(2.5p−1.5q)

2

−(1.5p−2.5q)

2

=6.25p

2

−7.5pq+2.25q

2

−(2.25p

2

−7.5pr+6.25q

2

)

=6.25p

2

−7.5pq+2.25q

2

−2.25p

2

+7.5pq−6.25q

2

)

=4p

2

−4q

2

Answer 2

Answer:

let a= (2.5p-1.5q)

and, b=(1.5p-2.5q)

using identity a²-b²=(a+b)(a-b)

={2.5p-1.5q +1.5p-2.5q} {2.5p-1.5q-(1.5p-2.5q)}

={4p-4q} {2.5p-1.5q-1.5p+2.5q}

={4p-4q} {p+q}

=4p(p+q) -4q(p+q)

=4p²+4pq-4pq-4q²

=4p²-4q²