Question

Expand (-2x+5y-3z) 2

Answer 1

(-2x+5y-3z)²
=[5y-(2x+3z)]²
=25y²-2.5y.(2x+3z)+(2x+3z)²
=25y²-20xy-30yz+4x²+2.2x.3z+9z²
=4x²+25y²+9z²-20xy+12xz-30yz

Answer 2

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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