Factorise the polynomial completely.

MATHEMATICS · Multi-part · CBSE · Mathematics · Polynomials · Polynomials

Problem

Factorise the polynomial

G=4x^{2}+12xy+9y^{2}-16z^{2}

completely. (i) Rearrange the terms of

G

so that a special product pattern becomes evident. (ii) Using the arrangement obtained, factorise

G

completely into linear factors. (iii) Evaluate

G

for

x=2

y=1

and

z=5

using its factorised form.