Question

How to solve 9x^2 +24xy +16y^2

Answer 1

Hi there

Your answer is :-

$9x^2 +24xy +16y^2$

$3^2x^2 +24xy + 4^2y^2$

$(3x)^2 +24xy + (4y)^2$

$Note :- Apply\:a^2 + 2ab +b^2 = ( a + b )^2$

$( 3x + 4y )^2 \: ( Ans )$


Thank You

Answer 2

$9x ^{2} + 24xy + 16y ^{2} \\ (3x) ^{2} + 2(3x)(4x) + (4y) ^{2} \: \: using \: identity = > (a + b) ^{2} = a ^{2} + 2ab+ {b}^{2} \\ (3x + 4y) ^{2} \\ (3x + 4y)(3x + 4y)$