What is expand 108a-3(b-c)^2 ?

The solution to expand 108a-3(b-c)^2 is 108a-3b^2+6bc-3c^2

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expand 108a-3(b-c)^2

expand

108 a - 3 (b - c)^{2}

108 a - 3 b^{2} + 6 b c - 3 c^{2}

Solution steps

108 a - 3 (b - c)^{2}

Expand

(b - c)^{2} : b^{2} - 2 b c + c^{2}

= 108 a - 3 (b^{2} - 2 b c + c^{2})

Apply the distributive law:

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

- 3 (b^{2} - 2 b c + c^{2}) = - 3 b^{2} - 3 (- 2 b c) - 3 c^{2}

= 108 a - 3 b^{2} - 3 (- 2 b c) - 3 c^{2}

Simplify

- 3 (- 2 b c) : 6 b c

= 108 a - 3 b^{2} + 6 b c - 3 c^{2}

2 x (5 + 3 x) - 4 (x + 5)

\frac{1}{( j ^{2} w ^{2} c )}

x^{2} - \frac{x ^{4}}{4} + \frac{x ^{6}}{24}

(i) arccos (2 - x)

2^{n} - 2^{n} - 1

What is expand 108a-3(b-c)^2 ?
The solution to expand 108a-3(b-c)^2 is 108a-3b^2+6bc-3c^2