What is expand 6z^2(7z^2+3z-2) ?

The solution to expand 6z^2(7z^2+3z-2) is 42z^4+18z^3-12z^2

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expand 6z^2(7z^2+3z-2)

expand

6 z^{2} (7 z^{2} + 3 z - 2)

42 z^{4} + 18 z^{3} - 12 z^{2}

Solution steps

6 z^{2} (7 z^{2} + 3 z - 2)

Apply the distributive law:

m (a + b + c) = ma + mb + m c

6 z^{2} (7 z^{2} + 3 z - 2) = 6 z^{2} \cdot 7 z^{2} + 6 z^{2} \cdot 3 z + 6 z^{2} (- 2)

= 6 z^{2} \cdot 7 z^{2} + 6 z^{2} \cdot 3 z + 6 z^{2} (- 2)

Simplify

6 z^{2} \cdot 7 z^{2} + 6 z^{2} \cdot 3 z + 6 z^{2} (- 2) : 42 z^{4} + 18 z^{3} - 12 z^{2}

= 42 z^{4} + 18 z^{3} - 12 z^{2}

\frac{33}{4}

(6 x^{2} + 6 x + 9) + (x^{2} + 2 x)

(6 a^{2} - b) (6 a^{2} - b)

\frac{3}{30}

(2 x + 1) (x + 1)

What is expand 6z^2(7z^2+3z-2) ?
The solution to expand 6z^2(7z^2+3z-2) is 42z^4+18z^3-12z^2