Question

5 x + 3y whole square - 5 x minus 3y whole square

Answer 1

Hey friend,
Here is the answer you were looking for:
${(5x + 3y)}^{2} - {(5x - 3y)}^{2} \\ \\ using \: the \: identities \\ {( a + b)}^{2} = {a}^{2} + {b}^{2} + 2ab \\ \\ {(a - b)}^{2} = {a}^{2} + {b}^{2} - 2ab \\ \\ = ( {(5x)}^{2} + {(3y)}^{2} + 2 \times 5x \times 3y) \\ - ( {(5x)}^{2} + {(3y)}^{2} - 2 \times 5x \times 3y \\ \\ = ( {25x}^{2} + {9y}^{2} + 30xy) \\ - ( {25x}^{2} + {9y}^{2} - 30xy) \\ \\ = {25x}^{2} + {9y}^{2} + 30xy - {25x}^{2} - {9y}^{2} + 30xy \\ \\ after \: cancelling \: we \: get \\ \\ = 30xy + 30xy \\ \\ = 60xy$

Hope this helps!!!

@Mahak24

Thanks...
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