Give possible expressions for the length and breadth of the rectangle whose area is given by 4a² + 4a -3.
Solution:
Given, the area of the rectangle is given by 4a² + 4a - 3
We have to find the possible expressions for the length and breadth of the rectangle.
On factorising 4a² + 4a -3 by splitting the middle term,
4a² + 4a - 3 = 4a² + 6a - 2a - 3
= 2a(2a + 3) - 1(2a + 3)
= (2a - 1)(2a + 3)
Therefore, 4a² + 4a -3 = (2a - 1)(2a + 3)
✦ Try This: Give possible expressions for the length and breadth of the rectangle whose area is given by 9a² + 6a - 3
Given, the area of the rectangle is given by 9a² + 6a - 3
We have to find the possible expressions for the length and breadth of the rectangle.
On factorising 9a² + 6a - 3 by splitting the middle term,
9a² + 6a - 3 = 9a² + 9a - 3a - 3
= 9a(a + 1) - 1(a + 1)
= (9a - 1)(a + 1)
Therefore, 9a² + 6a -3 = (9a - 1)(a + 1)
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 2
NCERT Exemplar Class 9 Maths Exercise 2.3 Problem 40
Give possible expressions for the length and breadth of the rectangle whose area is given by 4a² + 4a -3
Summary:
The possible expressions for the length and breadth of the rectangle whose area is given by 4a² + 4a -3 are (2a - 1) and (2a - 3)
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