Question

Show that (3x+2y)²-24xy=(3x-2y)²
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Answer 1

Answer:

By using this rule :-

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

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

We prove/show this question.

${(3x + 2y)}^{2} - 24xy = {(3x - 2y)}^{2}$

${9x}^{2} + 2 \times 3x \times 2xy + {4x}^{2} - 24xy = {9x}^{2} - 2 \times \: 3x \times 2 y + {4x}^{2}$

${9x}^{2} + 12xy + {4x}^{2} - 24xy = {9x}^{2} - 12xy + {4x}^{2}$

${9x}^{2} + 12xy - 24xy + {4x}^{2} = {9x}^{2} - 12xy + {4x}^{2}$

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

LHS [ Left hand side ] = RHS [ Right hand side]

Hence,Proved.

Step-by-step explanation:

Hope this helps you.

# By Sparkly Princess.