Expand $(5 x - 3 y + 2) (5 x + 3 y + 2)$

25 x^{2} + 20 x + 4 - 9 y^{2}

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25 x^{2} - 20 x - 4 - 9 y^{2}

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16 x^{2} + 20 x + 4 - 9 y^{2}

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16 x^{2} + 25 x + 4 - 9 y^{2}

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Solution

The correct option is A $25 x^{2} + 20 x + 4 - 9 y^{2}$
$[(5 x + 2) - 3 y] [(5 x + 2) + 3 y]$

Taking (5x + 2) = a

= (a - 3y)(a + 3y)

= $a^{2} - (3 y)^{2}$

= $(5 x + 2)^{2} - 9 y^{2}$

= $25 x^{2} + 20 x + 4 - 9 y^{2}$

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