What is 9w(7w+5z)-6w(4z+3w) ?

The solution to 9w(7w+5z)-6w(4z+3w) is 45w^2+21wz

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 9w(7w+5z)-6w(4z+3w)

simplify

9 w (7 w + 5 z) - 6 w (4 z + 3 w)

45 w^{2} + 21 w z

Solution steps

9 w (7 w + 5 z) - 6 w (4 z + 3 w)

Expand

9 w (7 w + 5 z) : 63 w^{2} + 45 w z

= 63 w^{2} + 45 w z - 6 w (4 z + 3 w)

Expand

- 6 w (4 z + 3 w) : - 24 w z - 18 w^{2}

= 63 w^{2} + 45 w z - 24 w z - 18 w^{2}

Add similar elements:

45 w z - 24 w z = 21 w z

= 63 w^{2} + 21 w z - 18 w^{2}

Group like terms

= 63 w^{2} - 18 w^{2} + 21 w z

Add similar elements:

63 w^{2} - 18 w^{2} = 45 w^{2}

= 45 w^{2} + 21 w z

- 1 + (- 10)

(- 5) (- 5) (- 5) (- 5)

\frac{2}{4} \cdot 8

\frac{3}{4} x^{2} - 4

\frac{11}{17 - 4}