Expand following, using suitable identities :- (–2x + 5y – 3z)^{2}

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#### Solution

It is known that,

(x + y + z)^{2} = x^{2} + y^{2} + z^{2} + 2xy + 2yz + 2zx

(–2x + 5y – 3z)^{2} = (-2x)^{2} + (5y)^{2} + (-3z)^{2} + 2(-2x)(5y) + 2(5y)(-3z) + 2(-3z)(-2x)

= 4x^{2} + 25y^{2} + 9z^{2} - 20xy - 30yz +12xz

Concept: Algebraic Identities

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