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Popular >

expand ((a-2)(a^4+2a^3-2a^2-4a+4))/((a^2-2)^2)

Solution

expand

\frac{( a - 2 ) ( a ^{4} + 2 a ^{3} - 2 a ^{2} - 4 a + 4 )}{( a ^{2} - 2 ) ^{2}}

Solution

\frac{a ^{5} - 6 a ^{3} + 12 a - 8}{a ^{4} - 4 a ^{2} + 4}

Solution steps

\frac{( a - 2 ) ( a ^{4} + 2 a ^{3} - 2 a ^{2} - 4 a + 4 )}{( a ^{2} - 2 ) ^{2}}

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

= \frac{( a - 2 ) ( a ^{4} + 2 a ^{3} - 2 a ^{2} - 4 a + 4 )}{a ^{4} - 4 a ^{2} + 4}

Expand

(a - 2) (a^{4} + 2 a^{3} - 2 a^{2} - 4 a + 4) : a^{5} - 6 a^{3} + 12 a - 8

= \frac{a ^{5} - 6 a ^{3} + 12 a - 8}{a ^{4} - 4 a ^{2} + 4}

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Frequently Asked Questions (FAQ)

What is expand ((a-2)(a^4+2a^3-2a^2-4a+4))/((a^2-2)^2) ?
The solution to expand ((a-2)(a^4+2a^3-2a^2-4a+4))/((a^2-2)^2) is (a^5-6a^3+12a-8)/(a^4-4a^2+4)