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Popular >

factor a^4-25a^2+144

Solution

factor

a^{4} - 25 a^{2} + 144

Solution

(a + 3) (a - 3) (a + 4) (a - 4)

Solution steps

a^{4} - 25 a^{2} + 144

Let

u = a^{2}

= u^{2} - 25 u + 144

Factor

u^{2} - 25 u + 144 : (u - 9) (u - 16)

= (u - 9) (u - 16)

Substitute back

u = a^{2}

= (a^{2} - 9) (a^{2} - 16)

Factor

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

= (a + 3) (a - 3) (a^{2} - 16)

Factor

a^{2} - 16 : (a + 4) (a - 4)

= (a + 3) (a - 3) (a + 4) (a - 4)

Popular Examples

(16x}{16}=\frac{8*8*5)/5

\frac{16 x}{16} = \frac{8 \cdot 8 \cdot 5}{5}

factor 18x^2-9x-2 factor

18 x^{2} - 9 x - 2

x + 5 = 14 - \frac{1}{2} x

factor (43t-16t^2)-22 factor

(43 t - 16 t^{2}) - 22

simplify 5(x+9)+7(y+2)-x simplify

5 (x + 9) + 7 (y + 2) - x

Frequently Asked Questions (FAQ)

What is factor a^4-25a^2+144 ?
The solution to factor a^4-25a^2+144 is (a+3)(a-3)(a+4)(a-4)