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Popular >

factor x^4-40x^2+144

Solution

factor

x^{4} - 40 x^{2} + 144

Solution

(x + 2) (x - 2) (x + 6) (x - 6)

Solution steps

x^{4} - 40 x^{2} + 144

Let

u = x^{2}

= u^{2} - 40 u + 144

Factor

u^{2} - 40 u + 144 : (u - 4) (u - 36)

= (u - 4) (u - 36)

Substitute back

u = x^{2}

= (x^{2} - 4) (x^{2} - 36)

Factor

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

= (x + 2) (x - 2) (x^{2} - 36)

Factor

x^{2} - 36 : (x + 6) (x - 6)

= (x + 2) (x - 2) (x + 6) (x - 6)

Popular Examples

factor 4(7+y)-3x(7+y)factor

4 (7 + y) - 3 x (7 + y)

simplify-sqrt(-20)simplify

- - 20

- 2 x^{2} - 2 x + 4 = 0

simplify 4/5*5 simplify

\frac{4}{5} \cdot 5

10 \leq 2 x \leq x + 9

Frequently Asked Questions (FAQ)

What is factor x^4-40x^2+144 ?
The solution to factor x^4-40x^2+144 is (x+2)(x-2)(x+6)(x-6)