What is factor (2a+3)^2-(a-1)^2 ?

The solution to factor (2a+3)^2-(a-1)^2 is (3a+2)(a+4)

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factor (2a+3)^2-(a-1)^2

factor

(2 a + 3)^{2} - (a - 1)^{2}

(3 a + 2) (a + 4)

Solution steps

(2 a + 3)^{2} - (a - 1)^{2}

Apply Difference of Two Squares Formula:

x^{2} - y^{2} = (x + y) (x - y)

(2 a + 3)^{2} - (a - 1)^{2} = ((2 a + 3) + (a - 1)) ((2 a + 3) - (a - 1))

= ((2 a + 3) + (a - 1)) ((2 a + 3) - (a - 1))

Simplify

((2 a + 3) + (a - 1)) ((2 a + 3) - (a - 1)) : (3 a + 2) (a + 4)

= (3 a + 2) (a + 4)

25 6^{\frac{3}{2}}

2 x - 1 = x + 3

- 5 k^{2} + 48 k + 20

(1 - x)^{2}

- 7112 + 663

What is factor (2a+3)^2-(a-1)^2 ?
The solution to factor (2a+3)^2-(a-1)^2 is (3a+2)(a+4)