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Identity (x-y)^2

Question 85 i...

Question

Question 85 (i)

Expand the following, using suitable identities.

$(x y + y z)^{2}$

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Solution

We have,
$(x y + y z)^{2} = (x y)^{2} + (y z)^{2} + 2 \times x y \times y z$
[using the identity, $(a + b)^{2} = a^{2} + b^{2} + 2 a b$ ]
$= x^{2} y^{2} + y^{2} z^{2} + 2 x y^{2} z$

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Identity (x-y)^2

Standard IX Mathematics

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