What is (3x+4y)^2-(3x-4y)^2 ?

The solution to (3x+4y)^2-(3x-4y)^2 is 48xy

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (3x+4y)^2-(3x-4y)^2

simplify

(3 x + 4 y)^{2} - (3 x - 4 y)^{2}

48 x y

Solution steps

(3 x + 4 y)^{2} - (3 x - 4 y)^{2}

Expand

(3 x + 4 y)^{2} : 9 x^{2} + 24 x y + 16 y^{2}

= 9 x^{2} + 24 x y + 16 y^{2} - (3 x - 4 y)^{2}

Expand

- (3 x - 4 y)^{2} : - 9 x^{2} + 24 x y - 16 y^{2}

= 9 x^{2} + 24 x y + 16 y^{2} - 9 x^{2} + 24 x y - 16 y^{2}

Group like terms

= 9 x^{2} - 9 x^{2} + 24 x y + 24 x y + 16 y^{2} - 16 y^{2}

Add similar elements:

9 x^{2} - 9 x^{2} = 0

= 24 x y + 24 x y + 16 y^{2} - 16 y^{2}

Add similar elements:

24 x y + 24 x y = 48 x y

= 48 x y + 16 y^{2} - 16 y^{2}

Add similar elements:

16 y^{2} - 16 y^{2} = 0

= 48 x y

7 x + 5 x

(5 x^{2} - 4 x + 7) + (- 4 x^{2} + 3 x - 5)

\frac{9}{10} - \frac{3}{10}

- 35 \div 5

45 x^{3} z + 9 x^{5} y^{3}