What is expand c^2(c^2-10c+25) ?

The solution to expand c^2(c^2-10c+25) is c^4-10c^3+25c^2

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expand c^2(c^2-10c+25)

expand

c^{2} (c^{2} - 10 c + 25)

c^{4} - 10 c^{3} + 25 c^{2}

Solution steps

c^{2} (c^{2} - 10 c + 25)

Apply the distributive law:

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

c^{2} (c^{2} - 10 c + 25) = c^{2} c^{2} + c^{2} (- 10 c) + c^{2} \cdot 25

= c^{2} c^{2} + c^{2} (- 10 c) + c^{2} \cdot 25

Simplify

c^{2} c^{2} + c^{2} (- 10 c) + c^{2} \cdot 25 : c^{4} - 10 c^{3} + 25 c^{2}

= c^{4} - 10 c^{3} + 25 c^{2}

- 5 \cdot (- 1)

2^{0} + 2^{- 1} + 2

\frac{- 1}{x}

\frac{5 x + 1}{x - 6} - \frac{x}{x ^{2} - 10 x + 24}

What is expand c^2(c^2-10c+25) ?
The solution to expand c^2(c^2-10c+25) is c^4-10c^3+25c^2