Step-by-step explanation:
Answer:
(2x -3y +2)² = 4x^2 + 9y^2 + 8x - 12y -12xy + 4
We know that,
[tex] (a \: + \: b + \: c)^{2} = \: {a}^{2 \:} \: + \: {b}^{2} \: + \: {c}^{2} \: + \: 2ab \: + \: 2bc \: + \: 2ac[/tex]
Here, a=2x, b=-3y, c=2
(2x -3y +2)² =(2x)^2 + (-3y)^2 + 2^2 + 2(2x)(-3y) +
2(2x)(2) + 2(-3y)(2)
=4x^2 + 9y^2 + 4 -12xy + 8x -12y
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Step-by-step explanation:
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Answer:
(2x -3y +2)² = 4x^2 + 9y^2 + 8x - 12y -12xy + 4
Step-by-step explanation:
We know that,
[tex] (a \: + \: b + \: c)^{2} = \: {a}^{2 \:} \: + \: {b}^{2} \: + \: {c}^{2} \: + \: 2ab \: + \: 2bc \: + \: 2ac[/tex]
Here, a=2x, b=-3y, c=2
(2x -3y +2)² =(2x)^2 + (-3y)^2 + 2^2 + 2(2x)(-3y) +
2(2x)(2) + 2(-3y)(2)
=4x^2 + 9y^2 + 4 -12xy + 8x -12y
(2x -3y +2)² = 4x^2 + 9y^2 + 8x - 12y -12xy + 4