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Popular >

factor a^4-8a^2+16

Solution

factor

a^{4} - 8 a^{2} + 16

Solution

(a + 2)^{2} (a - 2)^{2}

Solution steps

a^{4} - 8 a^{2} + 16

Let

u = a^{2}

= u^{2} - 8 u + 16

Factor

u^{2} - 8 u + 16 : (u - 4)^{2}

= (u - 4)^{2}

Substitute back

u = a^{2}

= (a^{2} - 4)^{2}

Factor

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

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

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

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

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

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\frac{( - 25 )}{( - 5 )}

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\frac{6}{5} - \frac{2}{35}

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Frequently Asked Questions (FAQ)

What is factor a^4-8a^2+16 ?
The solution to factor a^4-8a^2+16 is (a+2)^2(a-2)^2