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Factorising a Binomial

Question 3iFa...

Question

Question 3(i)
Factorise
$x^{2} + x y + 8 x + 8 y$

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Solution

$x^{2} + x y + 8 x + 8 y = x \times x + x \times y + 8 \times x + 8 \times y = x (x + y) + 8 (x + y) = (x + y) (x + 8)$

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Q. Question 3(i)
Factorise

x^{2} + x y + 8 x + 8 y

x^{2} + x y + 8 x + 8 y

x^{2} + x y + 8 x + 8 y

Factorise the following expression:

x^{2} + x y + 8 x + 8 y

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

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Factorising a Binomial

Standard VII Mathematics

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