Question

$identify \: the \: terms \: and \: their \: factor \: in \: the \: following \: expression \: show \: the \: factor \: by \: tree \: diagram \: {4x}^{2} - 3xy$
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Answer 1

....Your answer is given below -:::

Let f(x) = (2x + 3y).(2x - 3y).(4x^2 + 9y^2)

f(x) = [(2x)^2 - (3y)^2].(4x^2 + 9y^2) [since (a-b).(a+b) = (a^2 - b^2)]

f(x) = (4x^2 - 9y^2).(4x^2 + 9y^2)

=>f(x) = [(4x^2)^2 - (9y^2)^2]

=>f(x) = (16x^4 - 81y^4)

Therefore the result is (16x^4 - 81y^4)

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