Question

simplify: 4(3x + 4y)^2
+12(3x + 4y)(2x + 5y) + 9(2x + 5y)^2.​

Answer 1

Step-by-step explanation:

4(3x + 4y)^2

+12(3x + 4y)(2x + 5y) + 9(2x + 5y)^2

= [2(3x + 4y)]^2

+2×2(3x + 4y)×3(2x + 5y) + [3(2x + 5y)]^2

= [2(3x + 4y) + 3(2x + 5y)]^2

= (6x + 8y + 6x + 15y)^2

= (12x + 23y)^2

Answer 2

Answer:

4 ( 3x + 4y ) ^2 + 12 (3x+4y)(2x+5y) + 9 (2x +5y)^2

In given equation , we can apply (a+b)^2 identity ,

[2(3x + 4y ) + 3 ( 2x +5y )]^2

[ 6x + 8y + 6x + 15 y ]^2

[ 12x + 23y ] ^2