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Factorisation Using Algebraic Identities

iii The follo...

Question

Question 93 (iii)

The following expression is the area of a rectangle. Find the possible length and breadth of the rectangle.

$x^{2} - 7 x + 10$

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Solution

We have,
Area of rectangle= $x^{2} - 7 x + 10$
$x^{2} - (5 + 2) x + 10 = x^{2} - 5 x - 2 x + 10 = x (x - 5) - 2 (x - 5) = (x - 5) (x - 2)$
$∴$ The possible length and breadth are (x-2) and (x-5).

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Question 93 (v)

The following expression is the area of a rectangle. Find the possible length and breadth of the rectangle.

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Question 93 (v)

The following expression is the area of a rectangle. Find the possible length and breadth of the rectangle.

$x^{2} + 9 x + 20$

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Factorisation Using Algebraic Identities

Standard VIII Mathematics

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