What is (8w+5)z+w(-8z-7w+4) ?

The solution to (8w+5)z+w(-8z-7w+4) is -7w^2+4w+5z

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simplify (8w+5)z+w(-8z-7w+4)

simplify

(8 w + 5) z + w (- 8 z - 7 w + 4)

- 7 w^{2} + 4 w + 5 z

Solution steps

(8 w + 5) z + w (- 8 z - 7 w + 4)

= z (8 w + 5) + w (- 8 z - 7 w + 4)

Expand

z (8 w + 5) : 8 w z + 5 z

= 8 w z + 5 z + w (- 8 z - 7 w + 4)

Expand

w (- 8 z - 7 w + 4) : - 8 w z - 7 w^{2} + 4 w

= 8 w z + 5 z - 8 w z - 7 w^{2} + 4 w

Group like terms

= - 7 w^{2} + 8 w z - 8 w z + 4 w + 5 z

Add similar elements:

8 w z - 8 w z = 0

= - 7 w^{2} + 4 w + 5 z

\frac{7 140}{8 7}

(x + y) \cdot (x - y)

2 \cdot (- 7)

(- 1 + i) (\frac{1}{2} + \frac{1}{2} i)

cos^{2} (x) - sin^{2} (x) cos^{2} (x)

What is (8w+5)z+w(-8z-7w+4) ?
The solution to (8w+5)z+w(-8z-7w+4) is -7w^2+4w+5z