Find the value of x-yx-yx2-y2 when x-3 and y-2A- x4-y4B- x3-y3C- x-4-y4-D- x3-y3

The correct option is A x4 y4 Given (x+y)(x y)(x^2 + y^2) Substituting x = 3 and y = 2 we get = (3+2)(3 2)(3^2 + 2^2) = 5(9 + 4) = 5(9 + 4) = 5(13) = 65 ...

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Byju's Answer

Standard VI

Mathematics

Multiplication of a Polynomial and Monomial

Find the valu...

Question

Find the value of $(x + y) (x - y) (x^{2} + y^{2}$ ) when $x = 3$ and $y = 2$

( - )

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x³+ y³

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( + )

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x⁴- y⁴

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Solution

The correct option is D
x⁴- y⁴

Given $(x + y) (x - y) (x^{2} + y^{2}$ )

Substituting $x = 3$ and $y = 2$ we get

= $(3 + 2) (3 - 2) (3^{2} + 2^{2}$ )

= $5 (9 + 4)$

= $5 (9 + 4)$

= $5 (13)$

= $65$

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Similar questions

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

is equal to .

$(x + y) (x - y) (x^{2} + y^{2})$ is

Q. Verify:

(i)

x^{3} + y^{3} = (x + y) (x^{2} - x y + y^{2})

(ii)

x^{3} - y^{3} = (x - y) (x^{2} + x y + y^{2})

Q. Question 9
Verify:

(i) x^{3} + y^{3} = (x + y) (x^{2} - x y + y^{2}) (i i) x^{3} - y^{3} = (x - y) (x^{2} + x y + y^{2})

Find:

x^{3} + y^{3} - (x + y) (x^{2} - x y + y^{2})

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Find the value of (x+y)(x−y)(x2+y2) when x=3 and y=2

The correct option is D x4 - y4 Given (x+y)(x−y)(x2+y2) Substituting x=3 and y=2 we get = (3+2)(3−2)(32+22) = 5(9+4) = 5(9+4) = 5(13) = 65

Find the value of $(x + y) (x - y) (x^{2} + y^{2}$ ) when $x = 3$ and $y = 2$

The correct option is D
x⁴- y⁴

Given $(x + y) (x - y) (x^{2} + y^{2}$ )

Substituting $x = 3$ and $y = 2$ we get

= $(3 + 2) (3 - 2) (3^{2} + 2^{2}$ )

= $5 (9 + 4)$

= $5 (9 + 4)$

= $5 (13)$

= $65$