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Popular >

factor a^4-37a^2+36

Solution

factor

a^{4} - 37 a^{2} + 36

Solution

(a + 1) (a - 1) (a + 6) (a - 6)

Solution steps

a^{4} - 37 a^{2} + 36

Let

u = a^{2}

= u^{2} - 37 u + 36

Factor

u^{2} - 37 u + 36 : (u - 1) (u - 36)

= (u - 1) (u - 36)

Substitute back

u = a^{2}

= (a^{2} - 1) (a^{2} - 36)

Factor

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

= (a + 1) (a - 1) (a^{2} - 36)

Factor

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

= (a + 1) (a - 1) (a + 6) (a - 6)

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Frequently Asked Questions (FAQ)

What is factor a^4-37a^2+36 ?
The solution to factor a^4-37a^2+36 is (a+1)(a-1)(a+6)(a-6)