Question

(x+y)(x+y+z)-(x-y)(x-y-z)
simplify

Answer 1

hello mate!......


$given...... \\ \\ (x + y)(x + y + z) - (x - y)(x - y - z) \\ \\ = x {}^{2} + xy + xz + yx + y {}^{2} + yz - (x {}^{2} - xy - xz - xy + y {}^{2} + yz) \\ \\ = x {}^{2} + y {}^{2} + 2xy + xz + yz - x {}^{2} - y {}^{2} + 2xy + xz - yz \\ \\ = 4xy + 2xz \\ \\ = 2x(2y + z) \\ \\ hope \: it \: helps \: u \: dear$

Answer 2

♥️Hope u like my process♥️
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$= > \bf \: (x + y)(x + y + z) - (x - y)(x - y - z) \\ \\ = (x + y) ^{2} + z(x + y) - {(x - y)}^{2} + z(x - y) \\ \\ = (x + y) ^{2} - {(x - y)}^{2} + z(x + y) + z(x - y) \\ \\ = {x}^{2} + {y}^{2} + 2xy - {x}^{2} - {y}^{2} + 2xy + z(x + y + x - y) \\ \\ = 4xy + 2xz = \bf \: 2x(2y + z)$
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❤️Hope this is ur required answer❤️

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