What is expand (a^2-2a+3)(a^2+2a+3) ?

The solution to expand (a^2-2a+3)(a^2+2a+3) is a^4+2a^2+9

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expand (a^2-2a+3)(a^2+2a+3)

expand

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

a^{4} + 2 a^{2} + 9

Solution steps

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

Distribute parentheses

= a^{2} a^{2} + a^{2} \cdot 2 a + a^{2} \cdot 3 - 2 a a^{2} - 2 a \cdot 2 a - 2 a \cdot 3 + 3 a^{2} + 3 \cdot 2 a + 3 \cdot 3

Simplify

a^{2} a^{2} + a^{2} \cdot 2 a + a^{2} \cdot 3 - 2 a a^{2} - 2 a \cdot 2 a - 2 a \cdot 3 + 3 a^{2} + 3 \cdot 2 a + 3 \cdot 3 : a^{4} + 2 a^{2} + 9

= a^{4} + 2 a^{2} + 9

\frac{16}{22}

\frac{\frac{1}{2}}{3}

- 4 + (- 12)

\frac{8 n ^{4} - 4 n ^{- 2}}{2 n ^{- 2}}

What is expand (a^2-2a+3)(a^2+2a+3) ?
The solution to expand (a^2-2a+3)(a^2+2a+3) is a^4+2a^2+9