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Addition and Subtraction of Algebraic Expression

ii Simplify 3...

Question

Question 84 (ii)

Simplify

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

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Solution

We have,
$(3 x + 2 y)^{2} - (3 x - 2 y)^{2}$
$= [(3 x + 2 y) + (3 x - 2 y)] [(3 x + 2 y) - (3 x - 2 y)]$ [using the identity, $a^{2} - b^{2} = (a + b) (a - b)$ ]
$= (3 x + 2 y + 3 x - 2 y) (3 x + 2 y - 3 x + 2 y) = 6 x \times 4 y = (6 \times 4) \times x y = 24 x y$

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Similar questions

Question 84 (i)

Simplify

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

Question 84 (ii)

Simplify

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

Question 84 (i)

Simplify

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

Q. Prove that :

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

Q. Solve the equation:-

(3 x + 2 y)^{2} + (3 x - 2 y)^{2}

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Addition and Subtraction of Algebraic Expression

Standard VIII Mathematics

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