Divide x^6 - y^6 by the product of x^2 + xy + y^2 and x - y.

The product of (x 2 \+ xy + y 2 ) and (x \- y) = (x 2 \+ xy \+ y 2 ) (x \- y) = x (x 2 \+ xy \+ y 2 ) \- y (x 2 \+ xy \+ y 2 ) = x (1+2) \+ x (1+1) y \+ xy 2 \- x 2 y \- xy (1+1) \- y (1+2) = x 3 \+ x 2 y + xy 2 \- x 2 y \- xy 2 \- y 3 = x 3 \+ (x 2 y \- x 2 y) + (xy 2 \- xy 2 ) \- y 3 = x 3 \- y 3 Now, (x 6 \- y 6 ) ÷ ( x 3 \- y 3 ) Hence, the answer is (x 3 \+ y 3 )

Simplify:
(5 - x) (6 - 5x) (2 - x).

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The product of two numbers is 16x⁴ -1. If one number is 2x - 1, find the other.

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Simplify:
7x + 4{x² ÷ (5x ÷ 10)} - 3{2 - x³ ÷ (3x² ÷ x)}

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Mathematics

Divide x⁶ - y⁶ by the product of x² + xy + y² and x - y.

Algebraic Expressions

Related Questions

Simplify:
(5 - x) (6 - 5x) (2 - x).

The product of two numbers is 16x⁴ -1. If one number is 2x - 1, find the other.

Simplify:
7x + 4{x² ÷ (5x ÷ 10)} - 3{2 - x³ ÷ (3x² ÷ x)}

Mathematics

Divide x6 - y6 by the product of x2 + xy + y2 and x - y.

Algebraic Expressions

Related Questions

Simplify:(5 - x) (6 - 5x) (2 - x).

The product of two numbers is 16x4 -1. If one number is 2x - 1, find the other.

Simplify:7x + 4{x2 ÷ (5x ÷ 10)} - 3{2 - x3 ÷ (3x2 ÷ x)}

Divide x⁶ - y⁶ by the product of x² + xy + y² and x - y.

Simplify:
(5 - x) (6 - 5x) (2 - x).

The product of two numbers is 16x⁴ -1. If one number is 2x - 1, find the other.

Simplify:
7x + 4{x² ÷ (5x ÷ 10)} - 3{2 - x³ ÷ (3x² ÷ x)}