$(2 x + 3 y)^{2} = 4 x^{2} + 9 y^{2} + M$ , find M.

12 x y

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10 x y

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12

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10

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Solution

The correct option is A $12 x y$
$(2 x + 3 y)^{2} = 4 x^{2} + 9 y^{2} + 12 x y$ , ................. $(a + b)^{2} = a^{2} + 2 a b + b^{2}$

hence, $M = 12 x y$

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Similar questions

Four alternative options are given for each of the following statements. Select the correct option.

The expansion of (2x − 3y)² is:

A. 2x² + 3y² + 6xy

B. 4x² + 9y² − 12xy

C. 2x² + 3y² − 6xy

D. 4x² + 9y² + 12xy

4 x^{2} - 12 x y + 9 y^{2} + 2 x - 3 y

4 x^{2} + 12 x y + 9 y^{2}

4 x^{2} + 12 x y + 9 y^{2}

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

= 4 x^{2} + 9 y^{2} + 4 z^{2} - 12 x y + 12 y z - 8 z x

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