Question

Find the product of (3x+4y+5z) (2x+3y+4z)

Answer 1

Answer:

$\tt\pink{Question:-}$

$\small\tt{Find \: the \: product \: of \: (3x+4y+5z) \: (2x+3y+4z)}$

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$\tt\pink{Solution:-}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\small \tt{(3x + 4y + 5z)(2x + 3y + 4z)}$

$\small \tt{3x(2x + 3y + 4z) + 4y(2x + 3y + 4z) + 5z(2x + 3y + 4z)}$

$\small \tt{6 {x}^{2} + 9xy + 12xz + 8xy + 12 {y}^{2} + 16yz + 10xz + 15yz + {20z}^{2} }$

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$\small \tt \pink{Combine \: like \: terms \: and \: add \: them \: together}$

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$\small \tt{ {6x}^{2} + {12y}^{2} + 20 {z}^{2} + 9xy + 8xy + 16yz + 15yz+ 12xz + 10xz }$

$\small \tt \pink{ {6x}^{2} + {12y}^{2} + 20 {z}^{2} + 17xy + 31yz+ 22xz }$

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