Question

(xy+3z)^2-(xy-3z)(xy-3z)simplify the following using a suitable identity. ans:12xyz,explain me.​

Answer 1

Your answer is in the attachment below.

The identity of:

a^2-b^2 = (a+b)(a-b) is used in the question.

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Answer 2

Step-by-step explanation:

$(xy + 3z {)}^{2} - (xy - 3z)(xy - 3z) \\ = {(xy + 3z)}^{2} - {(xy - 3z)}^{2} \\ = (xy + 3z + xy - 3z){(xy +3z) - (xy - 3z)} \\ = 2xy(xy + 3z - xy + 3z) \\ = 2xy \times 6z \\ = 12xyz$

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