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Popular >

factor w^4-10w^2+9

Solution

factor

w^{4} - 10 w^{2} + 9

Solution

(w + 1) (w - 1) (w + 3) (w - 3)

Solution steps

w^{4} - 10 w^{2} + 9

Let

u = w^{2}

= u^{2} - 10 u + 9

Factor

u^{2} - 10 u + 9 : (u - 1) (u - 9)

= (u - 1) (u - 9)

Substitute back

u = w^{2}

= (w^{2} - 1) (w^{2} - 9)

Factor

w^{2} - 1 : (w + 1) (w - 1)

= (w + 1) (w - 1) (w^{2} - 9)

Factor

w^{2} - 9 : (w + 3) (w - 3)

= (w + 1) (w - 1) (w + 3) (w - 3)

Popular Examples

simplify (p^2-9)/(2p+6)simplify

\frac{p ^{2} - 9}{2 p + 6}

simplify-x^2-3x^2 simplify

- x^{2} - 3 x^{2}

2 1/3 \div 21/15

2 \frac{1}{3} \div \frac{21}{15}

expand x^2(x^4-2x)expand

x^{2} (x^{4} - 2 x)

2 \frac{1}{4} - 1 \frac{1}{2}

Frequently Asked Questions (FAQ)

What is factor w^4-10w^2+9 ?
The solution to factor w^4-10w^2+9 is (w+1)(w-1)(w+3)(w-3)