What is 8z-5z[4z-2(3z-6)]-7z(-5z+3) ?

The solution to 8z-5z[4z-2(3z-6)]-7z(-5z+3) is 45z^2-73z

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simplify 8z-5z[4z-2(3z-6)]-7z(-5z+3)

simplify

8 z - 5 z [4 z - 2 (3 z - 6)] - 7 z (- 5 z + 3)

45 z^{2} - 73 z

Solution steps

8 z - 5 z (4 z - 2 (3 z - 6)) - 7 z (- 5 z + 3)

Expand

4 z - 2 (3 z - 6) : - 2 z + 12

= 8 z - 5 z (- 2 z + 12) - 7 z (- 5 z + 3)

Expand

- 5 z (- 2 z + 12) : 10 z^{2} - 60 z

= 8 z + 10 z^{2} - 60 z - 7 z (- 5 z + 3)

Expand

- 7 z (- 5 z + 3) : 35 z^{2} - 21 z

= 8 z + 10 z^{2} - 60 z + 35 z^{2} - 21 z

Group like terms

= 10 z^{2} + 35 z^{2} + 8 z - 60 z - 21 z

Add similar elements:

10 z^{2} + 35 z^{2} = 45 z^{2}

= 45 z^{2} + 8 z - 60 z - 21 z

Add similar elements:

8 z - 60 z - 21 z = - 73 z

= 45 z^{2} - 73 z

\frac{( 2 - i ) ( 1 + 2 i )}{5 + 2 i}

18 n \cdot 98 n^{3}

9 (6 q - 5 r + 6)

\frac{s ^{3}}{t ^{3}}

(a + b + c) (a + b + c)

What is 8z-5z[4z-2(3z-6)]-7z(-5z+3) ?
The solution to 8z-5z[4z-2(3z-6)]-7z(-5z+3) is 45z^2-73z