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Popular >

expand s^2(s+5)(s+2)

Solution

expand

s^{2} (s + 5) (s + 2)

Solution

s^{4} + 7 s^{3} + 10 s^{2}

Solution steps

s^{2} (s + 5) (s + 2)

Expand

s^{2} (s + 5) (s + 2) : s^{2} (s^{2} + 7 s + 10)

= s^{2} (s^{2} + 7 s + 10)

Apply the distributive law:

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

s^{2} (s^{2} + 7 s + 10) = s^{2} s^{2} + s^{2} \cdot 7 s + s^{2} \cdot 10

= s^{2} s^{2} + s^{2} \cdot 7 s + s^{2} \cdot 10

Simplify

s^{2} s^{2} + s^{2} \cdot 7 s + s^{2} \cdot 10 : s^{4} + 7 s^{3} + 10 s^{2}

= s^{4} + 7 s^{3} + 10 s^{2}

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Frequently Asked Questions (FAQ)

What is expand s^2(s+5)(s+2) ?
The solution to expand s^2(s+5)(s+2) is s^4+7s^3+10s^2