What is (2x+3)^2-(x-1)^2 ?

The solution to (2x+3)^2-(x-1)^2 is 3x^2+14x+8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (2x+3)^2-(x-1)^2

simplify

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

3 x^{2} + 14 x + 8

Solution steps

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

Expand

(2 x + 3)^{2} : 4 x^{2} + 12 x + 9

= 4 x^{2} + 12 x + 9 - (x - 1)^{2}

Expand

- (x - 1)^{2} : - x^{2} + 2 x - 1

= 4 x^{2} + 12 x + 9 - x^{2} + 2 x - 1

Group like terms

= 4 x^{2} - x^{2} + 12 x + 2 x + 9 - 1

Add similar elements:

4 x^{2} - x^{2} = 3 x^{2}

= 3 x^{2} + 12 x + 2 x + 9 - 1

Add similar elements:

12 x + 2 x = 14 x

= 3 x^{2} + 14 x + 9 - 1

Subtract the numbers:

9 - 1 = 8

= 3 x^{2} + 14 x + 8

(2 x + 1)^{5}

lo g_{10} (x)

(x^{2} + 1) (x + 1)

\frac{- 15 x ^{8} y ^{6} z ^{10}}{3 x ^{4} z ^{2}}

3 \times \frac{2}{3}