Question

please tell me someone and please explain to me ​

Answer 1

Question

Simplify :- $\sf (3x + 2y)^2 - (3x-2y)^2$

Answer

By using the identity -

• $\sf (a + b)^2 = a^2 + b^2 + 2ab$
• $\sf (a - b)^2 = a^2 + b^2 - 2ab$

$\sf (3x + 2y)^2 - (3x-2y)^2$

$\sf = \{(3x)^2 + (2y)^2 + 2(3x)(2y)\} - \{(3x)^2 + (2y)^2 - 2(3x)(2y)\}$

$\sf = 9x^2 + 4y^2 + 12xy - \{ 9x^2 + 4y^2 - 12xy\}$

$\sf = \cancel {9x^2} + \cancel {4y^2} + 12xy - \cancel {9x^2} - \cancel {4y^2} + 12xy$

$\sf = 12xy + 12xy$

$\sf =24 xy$

Answer 2

Answer:

24xy is your answer.

Step-by-step explanation:

(3x+2y)²-(3x-2y)²

a²-b²=(a+b)(a-b)

Using this identity here..we are going to simplify this equation.

[(3x+2y)+(3x-2y)][(3x+2y)-(3x-2y)]

[3x+2y+3x-2y][3x+2y-3x+2y] {2y and (-2y) & 3x and (-3x) gets cancelled}

(6x)(4y)

24xy

Hope you understood ☺