What is (0.5x+0.4y)^2-(0.5x-0.4y)^2 ?

The solution to (0.5x+0.4y)^2-(0.5x-0.4y)^2 is 0.8xy

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (0.5x+0.4y)^2-(0.5x-0.4y)^2

simplify

(0.5 x + 0.4 y)^{2} - (0.5 x - 0.4 y)^{2}

0.8 x y

Solution steps

(0.5 x + 0.4 y)^{2} - (0.5 x - 0.4 y)^{2}

Expand

(0.5 x + 0.4 y)^{2} : 0.25 x^{2} + 0.4 x y + 0.16 y^{2}

= 0.25 x^{2} + 0.4 x y + 0.16 y^{2} - (0.5 x - 0.4 y)^{2}

Expand

- (0.5 x - 0.4 y)^{2} : - 0.25 x^{2} + 0.4 x y - 0.16 y^{2}

= 0.25 x^{2} + 0.4 x y + 0.16 y^{2} - 0.25 x^{2} + 0.4 x y - 0.16 y^{2}

Group like terms

= 0.25 x^{2} - 0.25 x^{2} + 0.4 x y + 0.4 x y + 0.16 y^{2} - 0.16 y^{2}

Add similar elements:

0.25 x^{2} - 0.25 x^{2} = 0

= 0.4 x y + 0.4 x y + 0.16 y^{2} - 0.16 y^{2}

Add similar elements:

0.4 x y + 0.4 x y = 0.8 x y

= 0.8 x y + 0.16 y^{2} - 0.16 y^{2}

Add similar elements:

0.16 y^{2} - 0.16 y^{2} = 0

= 0.8 x y

(\frac{2}{3 x + 1})^{3}

\frac{( 2 x - 6 )}{( x ^{2} - 2 x - 3 )}

\frac{( x ^{2} - 3 x )}{( x ^{2} - 9 )}

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

(v) 6^{l o g_{6} (5)} + 3^{l o g_{9} (16)}

What is (0.5x+0.4y)^2-(0.5x-0.4y)^2 ?
The solution to (0.5x+0.4y)^2-(0.5x-0.4y)^2 is 0.8xy