What is expand (3m^4-m^2+1)(m^2-3m+4) ?

The solution to expand (3m^4-m^2+1)(m^2-3m+4) is 3m^6-9m^5+11m^4+3m^3-3m^2-3m+4

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expand (3m^4-m^2+1)(m^2-3m+4)

expand

(3 m^{4} - m^{2} + 1) (m^{2} - 3 m + 4)

3 m^{6} - 9 m^{5} + 11 m^{4} + 3 m^{3} - 3 m^{2} - 3 m + 4

Solution steps

(3 m^{4} - m^{2} + 1) (m^{2} - 3 m + 4)

Distribute parentheses

= 3 m^{4} m^{2} + 3 m^{4} (- 3 m) + 3 m^{4} \cdot 4 - m^{2} m^{2} - m^{2} (- 3 m) - m^{2} \cdot 4 + 1 \cdot m^{2} + 1 \cdot (- 3 m) + 1 \cdot 4

Simplify

3 m^{4} m^{2} + 3 m^{4} (- 3 m) + 3 m^{4} \cdot 4 - m^{2} m^{2} - m^{2} (- 3 m) - m^{2} \cdot 4 + 1 \cdot m^{2} + 1 \cdot (- 3 m) + 1 \cdot 4 : 3 m^{6} - 9 m^{5} + 11 m^{4} + 3 m^{3} - 3 m^{2} - 3 m + 4

= 3 m^{6} - 9 m^{5} + 11 m^{4} + 3 m^{3} - 3 m^{2} - 3 m + 4

\frac{9 ( x ^{2} ) ^{3}}{3 x y ^{2}}

ln (2) + ln (4)

∣ z - 1 - 3 i ∣^{2}

(9 m + 4 n - 1) (2 m + 8)

- 1 \cdot y

What is expand (3m^4-m^2+1)(m^2-3m+4) ?
The solution to expand (3m^4-m^2+1)(m^2-3m+4) is 3m^6-9m^5+11m^4+3m^3-3m^2-3m+4