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Factorisation Using Algebraic Identities

Factorise: x2...

Question

Factorise:
$x^{2} + 8 x + 16$

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Solution

$x^{2} + 8 x + 16 = (x)^{2} + 2 \times x \times 4 + (4)^{2} = (x + 7)^{2} A n s .$

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Factorise:
$x^{2} - 17 x + 16$

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$x^{2} - 2 x + \frac{7}{16}$

Q. The equation of the parabola with focus (0, 0) and directrix x + y = 4 is
(a) x² + y² − 2xy + 8x + 8y − 16 = 0
(b) x² + y² − 2xy + 8x + 8y = 0
(c) x² + y² + 8x + 8y − 16 = 0
(d) x² − y² + 8x + 8y − 16 = 0

x^{2} - 8 x + 16

x^{2} + 8 x + 16 = 0

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Factorisation Using Algebraic Identities

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