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YOUR QUESTION - If two adjacent sides of a rectangle are (5x2 + 25xy + 4y2) and (2x2 – 2xy + 3y2), find its area
Area of a rectangle is just the product of its adjacent sides:
Area = (5x2 + 25xy + 4y2)(2x2 - 2xy + 3y2)
= 5x2 *(2x2 - 2xy + 3y2) + 25xy*(2x2 - 2xy + 3y2) + 4y2*(2x2 - 2xy + 3y2)
= 10x4 - 10x3y +15x2y2 + 50x3y -50 x2y2 +75xy3 + 8x2y2 - 8 xy3 + 12y4
= 10x4 + 40x3y - 20x2y2 + 67xy2 + 12y4
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Area of a rectangle is just the product of its adjacent sides:
Area = (5x2 + 25xy + 4y2)(2x2 - 2xy + 3y2)
= 5x2 *(2x2 - 2xy + 3y2) + 25xy*(2x2 - 2xy + 3y2) + 4y2*(2x2 - 2xy + 3y2)
= 10x4 - 10x3y +15x2y2 + 50x3y -50 x2y2 +75xy3 + 8x2y2 - 8 xy3 + 12y4
= 10x4 + 40x3y - 20x2y2 + 67xy2 + 12y4
.
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