Question

Expand (-2x + 5y -3xy)²
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Answer 1

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Answer:

(-2x+5y-3z)^{2}\\=4x^{2}+25y^{2}+9z^{2}\\-8xy-24yz+12zx

Step-by-step explanation:

We\: know \: the \:\\algebraic \: identity :\\</p><p>(a+b+c)^{2}=a^{2}+b^{2}+c^{2}\\+2ab+2bc+2ca

Now, \\Expansion \:of \:(-2x+5y-3z)^{2}\\=[(-2x)+4y+(-3z)]^{2}

Here,

a = -2x , b = 5y, c = -3z

[(-2x)+4y+(-3z)]^{2}\\=(-2x)^{2}+(5y)^{2}+(-3z)^{2}\\+2(-2x)(4y)+2(4y)(-3z)+2(-3z)(-2x)

=4x^{2}+25y^{2}\\+9z^{2}-8xy-24yz+12zx

Therefore,

(-2x+5y-3z)^{2}\\=4x^{2}+25y^{2}+9z^{2}\\-8xy-24yz+12zx

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Answer 2

-2x2 + 5y2 -3x2y2
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