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Factorise the following using appropriate identities: (i) 9x^2

Question

Factorise the following using appropriate identities:
(i) $9 x^{2} + 6 x y + y^{2}$
(ii) $4 y^{2} - 4 y + 1$
(iii) $x^{2} - \frac{y ^{2}}{100}$

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Emma Discussed

Factorise the following using appropriate identities:
(i)

9 x^{2} + 6 x y + y^{2}

(ii)

4 y^{2} - 4 y + 1

(iii)

x^{2} - \frac{y ^{2}}{100}

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Text solutionVerified

(i)

9 x^{2} + 6 x y + y^{2} = (3 x)^{2} + 2 (3 x) (y) + (y)^{2} = (3 x + y)^{2}

(ii)

4 y^{2} - 4 y + 1 = (2 y)^{2} - 2 (2 y) (1) + 1 = (2 y - 1)^{2}

(iii)

x^{2} - \frac{y ^{2}}{100} = (x)^{2} - (\frac{y}{10})^{2} = (x - \frac{y}{10}) (x + \frac{y}{10})

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Question Text	Factorise the following using appropriate identities: (i) $9 x^{2} + 6 x y + y^{2}$ (ii) $4 y^{2} - 4 y + 1$ (iii) $x^{2} - \frac{y ^{2}}{100}$
Answer Type	Text solution:1
Upvotes	150