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Expansion of (x+y)^3

Question 3iiF...

Question

Question 3(ii)
Find the following squares by using identities:
$(x y + 3 z)^{2}$

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Solution

( $x y + 3 z)^{2} = (x y)^{2} + 2 \times x y \times 3 z + (3 z)^{2}$ $[U s i n g i d e n t i t y (a + b)^{2} = a^{2} + 2 a b + b^{2}]$
$= x^{2} y^{2} + 6 x y z + 9 z^{2}$

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Expansion of (x+y)^3

Standard VIII Mathematics

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