The adjacent sides of a rectangle are x^2 - 4xy + 7y^2 and x^3 - 5xy^2. Find its area.

Given: Dimensions of the rectangle = x 2 \- 4xy \+ 7y 2 and x 3 \- 5xy 2 As we know, area of rectangle = l x b So, putting the value (x 2 \- 4xy \+ 7y 2 ) (x 3 \- 5xy 2 ) = x 2 (x 3 \- 5xy 2 ) \- 4xy (x 3 \- 5xy 2 ) \+ 7y 2 (x 3 \- 5xy 2 ) = x (2+3) \- 5x (2+1) y 2 \- 4x (1+3) y \+ 20x (1+1) y (1+2) \+ 7x 3 y 2 \- 35xy (2+2) = x 5 \- 5x 3 y 2 \+ 7x 3 y 2 \- 4x 4 y \+ 20x 2 y 3 \- 35xy 4 = x 5 \+ 2x 3 y 2 \- 4x 4 y \+ 20x 2 y 3 \- 35xy 4 Hence, the area of the rectangle = x 5 \+ 2x 3 y 2 \- 4x 4 y \+ 20x 2 y 3 \- 35xy 4

Simplify:
(4x - 5y) (5x - 4y)

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Simplify:
(3y + 4z) (3y - 4z) + (2y + 7z) (y + z)

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The base and the altitude of a triangle are (3x - 4y) and (6x + 5y) respectively. Find its area.

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Multiply - 4xy³ and 6x²y and verify your result for x = 2 and y = 1.

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Mathematics

The adjacent sides of a rectangle are x² - 4xy + 7y² and x³ - 5xy². Find its area.

Algebraic Expressions

Related Questions

Simplify:
(4x - 5y) (5x - 4y)

Simplify:
(3y + 4z) (3y - 4z) + (2y + 7z) (y + z)

The base and the altitude of a triangle are (3x - 4y) and (6x + 5y) respectively. Find its area.

Multiply - 4xy³ and 6x²y and verify your result for x = 2 and y = 1.

Mathematics

The adjacent sides of a rectangle are x2 - 4xy + 7y2 and x3 - 5xy2. Find its area.

Algebraic Expressions

Related Questions

Simplify:(4x - 5y) (5x - 4y)

Simplify:(3y + 4z) (3y - 4z) + (2y + 7z) (y + z)

The base and the altitude of a triangle are (3x - 4y) and (6x + 5y) respectively. Find its area.

Multiply - 4xy3 and 6x2y and verify your result for x = 2 and y = 1.

The adjacent sides of a rectangle are x² - 4xy + 7y² and x³ - 5xy². Find its area.

Simplify:
(4x - 5y) (5x - 4y)

Simplify:
(3y + 4z) (3y - 4z) + (2y + 7z) (y + z)

Multiply - 4xy³ and 6x²y and verify your result for x = 2 and y = 1.