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Factorisation Using Algebraic Identities

Factorise: x2...

Question

Factorise:
$x^{2} + 6 a x + 9 a^{2}$

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Solution

$x^{2} + 6 a x + 9 a^{2} = (x)^{2} + 2 \times x \times 3 a + (3 a)^{2} = (x + 3 a)^{2} A n s .$

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9 a^{2} - 6 a x

Q. If both the roots of the equation

x^{2} - 6 a x + 2 - 2 a + 9 a^{2} = 0

3

Q. Find all values of

a

for which both roots of the equation

x^{2} - 6 a x + 2 - 2 a + 9 a^{2} = 0

are greater than

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If both the roots of the equation

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from the sum of

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Factorisation Using Algebraic Identities

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