What is factor 8q^4t+2q^3t^2-6q^2t^4 ?

The solution to factor 8q^4t+2q^3t^2-6q^2t^4 is 2q^2t(4q^2+qt-3t^3)

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factor 8q^4t+2q^3t^2-6q^2t^4

factor

8 q^{4} t + 2 q^{3} t^{2} - 6 q^{2} t^{4}

2 q^{2} t (4 q^{2} + qt - 3 t^{3})

Solution steps

8 q^{4} t + 2 q^{3} t^{2} - 6 q^{2} t^{4}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

q^{4} t = q^{2} q^{2} t, q^{3} t^{2} = q^{2} qtt, q^{2} t^{4} = q^{2} t t^{3}

= 8 q^{2} q^{2} t + 2 q^{2} qtt - 6 q^{2} t t^{3}

Rewrite

- 6

3 \cdot 2

Rewrite

8

4 \cdot 2

= 4 \cdot 2 q^{2} q^{2} t + 2 q^{2} qtt + 3 \cdot 2 q^{2} t t^{3}

Factor out common term

2 q^{2} t

= 2 q^{2} t (4 q^{2} + qt - 3 t^{3})

lo g_{5} (255)

\frac{1}{4} \div \frac{1}{4}

(x + 2) (3 x - 1)

cot (x) + (\frac{sin ( x )}{1 + cos ( x )})

\frac{3 ^{5}}{3 ^{- 1}}

What is factor 8q^4t+2q^3t^2-6q^2t^4 ?
The solution to factor 8q^4t+2q^3t^2-6q^2t^4 is 2q^2t(4q^2+qt-3t^3)