Which of the following is the factorisation of 8 x 3- y 3 -A- 2 x-y4 x2-2 x y-y2B- 2 x-y4 x2-2 x y-y2C- 2 x-y4 x2-2 x y-y2D- 2 x-y4 x2-2 x y-y2

The correct option is B (2x + y)(4x^2 2xy + y^2)It is known that, nbsp; a^3 + b^3 = (a + b)(a^2 ab + b^2) Therefore, nbsp; 8x^3 + y^3 = (2x)^3 + (y)^3 ...

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Standard VIII

Mathematics

Quadratic Trinomial(ax²+bx+c)

Which of the ...

Question

Which of the following is the factorisation of $8 x^{3} + y^{3}$ ?

(2 x - y) (4 x^{2} - 2 x y + y^{2})

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(2 x + y) (4 x^{2} - 2 x y + y^{2})

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(2 x - y) (4 x^{2} + 2 x y + y^{2})

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(2 x - y) (4 x^{2} - 2 x y - y^{2})

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Solution

The correct option is B $(2 x + y) (4 x^{2} - 2 x y + y^{2})$
It is known that,
$a^{3} + b^{3} = (a + b) (a^{2} - a b + b^{2})$
Therefore,
$8 x^{3} + y^{3}$
$= (2 x)^{3} + (y)^{3}$
$= (2 x + y) (4 x^{2} - 2 x y + y^{2})$

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Similar questions

Q. Expand:

(2 x - y) (2 x + y) (4 x^{2} + y^{2})

Q. Find the product of

(2 x - y) (2 x + y) (4 x^{2} + y^{2})

Q. Simplify (i)

(x - \frac{1}{x}) (x + \frac{1}{x}) (x^{2} + \frac{1}{x^{2}}) (x^{4} + \frac{1}{x^{4}})

(ii)

(2 x + y) (2 x - y) (4 x^{2} + y^{2})

Q. Find the product:

(x⁴+ y⁴)(x² − y²)

Which of the following are factors of $(x^{2} y - x y^{2})^{2}$ ?

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Which of the following is the factorisation of 8x3+y3?

The correct option is B (2x+y)(4x2−2xy+y2)It is known that, a3+b3=(a+b)(a2−ab+b2) Therefore, 8x3+y3 =(2x)3+(y)3 =(2x+y)(4x2−2xy+y2)

Which of the following is the factorisation of $8 x^{3} + y^{3}$ ?

The correct option is B $(2 x + y) (4 x^{2} - 2 x y + y^{2})$
It is known that,
$a^{3} + b^{3} = (a + b) (a^{2} - a b + b^{2})$
Therefore,
$8 x^{3} + y^{3}$
$= (2 x)^{3} + (y)^{3}$
$= (2 x + y) (4 x^{2} - 2 x y + y^{2})$