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Algebraic Identities

vi Find the f...

Question

Question 3(vi)
Find the following squares by using identities:
$(2 x y + 5 y)^{2}$

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Solution

$(2 x y + 5 y)^{2} = (2 x y)^{2} + 2 \times 2 x y \times 5 y + (5 y)^{2}$
$[U s i n g i d e n t i t y (a + b)^{2} = a^{2} + 2 a b + b^{2}]$
$= 4 x^{2} y^{2} + 20 x y^{2} + 25 y^{2}$

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Algebraic Identities

Standard VIII Mathematics

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