Section D
35. Factorise the expressions
ii) (2x+4y)²
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Answer:
(2x+4y)²
Let us use the below identity :
(a+b)² = a² + b² + 2ab
In the above expression
a = 2x
b = 4y
Using the above identity
(2x+4y)²
= (2x)² + (4y)² + (2 × 2x × 4y)
= 4x² + 16y² + 16xy
= 4(x² + 4y² + 4xy)
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