Question

Expand (3x+2y) (3x-2y) with full explanation ​

Answer 1

Answer:

$(3x + 2y)(3x - 2y) \\ \\ = (3x) ^{2} - (2y) ^{2} \\ \\ = 9x ^{2} - 4y ^{2} \\ \\ formula \: used \\ \\ a ^{2} - b ^{2} = ( a + b)(a - b)$

hope it helps uH ✔

Answer 2

Step-by-step explanation:

$(3x + 2y)(3x - 2y)$

If we expand this we get

$9 {x}^{2} - 4 {y}^{2}$

As we know that

${a}^{2} - {b}^{2} = (a + b)(a - b)$

Hence, the solution with explanation

$(3x + 2y)(3x - 2y) \\ = 9 {x}^{2} - 6xy + 6xy - 4 {y }^{2} \\ = 9 {x}^{2} - 4 {y}^{2} \\ = {(3x)}^{2} - {(2y)}^{2}$