What is (a^2-3a)(a^2-3a+7)+10 ?

The solution to (a^2-3a)(a^2-3a+7)+10 is a^4-6a^3+16a^2-21a+10

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simplify (a^2-3a)(a^2-3a+7)+10

simplify

(a^{2} - 3 a) (a^{2} - 3 a + 7) + 10

a^{4} - 6 a^{3} + 16 a^{2} - 21 a + 10

Solution steps

(a^{2} - 3 a) (a^{2} - 3 a + 7) + 10

Distribute parentheses

= a^{2} a^{2} + a^{2} (- 3 a) + a^{2} \cdot 7 - 3 a a^{2} - 3 a (- 3 a) - 3 a \cdot 7 + 10

Simplify

a^{2} a^{2} + a^{2} (- 3 a) + a^{2} \cdot 7 - 3 a a^{2} - 3 a (- 3 a) - 3 a \cdot 7 : a^{4} - 6 a^{3} + 16 a^{2} - 21 a

= a^{4} - 6 a^{3} + 16 a^{2} - 21 a + 10

(2 - x) (4 - x)

4 a^{2} - 4 b^{2} + 4 a + 1

2 (2^{n} - 1)

x^{3} (3 x + 1)

(- p)^{2}

What is (a^2-3a)(a^2-3a+7)+10 ?
The solution to (a^2-3a)(a^2-3a+7)+10 is a^4-6a^3+16a^2-21a+10