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Factors of Algebraic Expressions and Factorisation

Factorise:1 y...

Question

Factorise:

(1) y² + 8y + 16

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Solution

y² + 8y + 16
= (y)² + 2 × y × 4 + (4)²
= (y + 4)² [a² + 2ab + b² = (a + b)²]
= (y + 4) (y + 4)
∴ y² + 8y + 16 = (y + 4) (y + 4)

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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
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Q. y² + 8y +16 = 0

Q. Factorize :-

- y^{2} - 8 y - 16

y^{2} - 8 y + 16

81 x^{2} y^{2} - 16

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Factors of Algebraic Expressions and Factorisation

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