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

The solution to a^2(b+c)-(b+3)^3 is a^2b+a^2c-b^3-9b^2-27b-27

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simplify a^2(b+c)-(b+3)^3

simplify

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

a^{2} b + a^{2} c - b^{3} - 9 b^{2} - 27 b - 27

Solution steps

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

(b + 3)^{3} : b^{3} + 9 b^{2} + 27 b + 27

= a^{2} (b + c) - (b^{3} + 9 b^{2} + 27 b + 27)

Expand

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

= a^{2} b + a^{2} c - (b^{3} + 9 b^{2} + 27 b + 27)

- (b^{3} + 9 b^{2} + 27 b + 27) : - b^{3} - 9 b^{2} - 27 b - 27

= a^{2} b + a^{2} c - b^{3} - 9 b^{2} - 27 b - 27

(a + 8 y)^{3}

(a^{2} \cdot b^{3})^{3} \cdot (a^{2} \cdot b)^{2}

(x^{4})^{7}

8 s^{3} t^{3} + 64 s^{6} t^{6}

(a - 5)^{3}

What is a^2(b+c)-(b+3)^3 ?
The solution to a^2(b+c)-(b+3)^3 is a^2b+a^2c-b^3-9b^2-27b-27