What is expand 3g(g+r)^2-1 ?

The solution to expand 3g(g+r)^2-1 is 3g^3+6g^2r+3gr^2-1

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expand 3g(g+r)^2-1

expand

3 g (g + r)^{2} - 1

3 g^{3} + 6 g^{2} r + 3 g r^{2} - 1

Solution steps

3 g (g + r)^{2} - 1

Expand

(g + r)^{2} : g^{2} + 2 g r + r^{2}

= 3 g (g^{2} + 2 g r + r^{2}) - 1

Apply the distributive law:

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

3 g (g^{2} + 2 g r + r^{2}) = 3 g g^{2} + 3 g \cdot 2 g r + 3 g r^{2}

= 3 g g^{2} + 3 g \cdot 2 g r + 3 g r^{2} - 1

Simplify

3 g g^{2} + 3 g \cdot 2 g r + 3 g r^{2} : 3 g^{3} + 6 g^{2} r + 3 g r^{2}

= 3 g^{3} + 6 g^{2} r + 3 g r^{2} - 1

\frac{2 x ^{2} y}{( 3 x ^{- 2} y ) ^{2}}

\frac{8}{24}

(4 - 7)^{2} - 6.7 + 20

x^{3} x^{10}

3 a (x - 6 + b)

What is expand 3g(g+r)^2-1 ?
The solution to expand 3g(g+r)^2-1 is 3g^3+6g^2r+3gr^2-1