Question

Factorise 4x2
+ 9y2
– 25z2
+ 12xy

Answer 1

Step-by-step explanation:

$4x ^{2} + 9y ^{2} - 25z ^{2} + 12xy \\ = (4x ^{2} + 9y ^{2}+ 12xy)- 25z ^{2} \\ = using \: (a + b) ^{2} \: formula.. \\ (2x) ^{2} +( {3y})^{2} + 2(2x)(3y) - (5z) ^{2} \\ = ({2x + 3y} )^{2} - (5z) ^{2} \\ = using \: a ^{2} - { {b}^{2} } \: formula.. \\ = (2x + 3y - 5z)(2x + 3y + 5z)..$

➡(2x + 3y - 5z)(2x + 3y + 5z)

is the correct answer..