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Popular >

expand 6x^2-2(z-1)^2

Solution

expand

6 x^{2} - 2 (z - 1)^{2}

Solution

6 x^{2} - 2 z^{2} + 4 z - 2

Solution steps

6 x^{2} - 2 (z - 1)^{2}

Expand

(z - 1)^{2} : z^{2} - 2 z + 1

= 6 x^{2} - 2 (z^{2} - 2 z + 1)

Apply the distributive law:

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

- 2 (z^{2} - 2 z + 1) = - 2 z^{2} - 2 (- 2 z) - 2 \cdot 1

= 6 x^{2} - 2 z^{2} - 2 (- 2 z) - 2 \cdot 1

Simplify

- 2 z^{2} - 2 (- 2 z) - 2 \cdot 1 : - 2 z^{2} + 4 z - 2

= 6 x^{2} - 2 z^{2} + 4 z - 2

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Frequently Asked Questions (FAQ)

What is expand 6x^2-2(z-1)^2 ?
The solution to expand 6x^2-2(z-1)^2 is 6x^2-2z^2+4z-2