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Popular >

simplify (2a-1)^3-4a^2+1

Solution

simplify

(2 a - 1)^{3} - 4 a^{2} + 1

Solution

8 a^{3} - 16 a^{2} + 6 a

Solution steps

(2 a - 1)^{3} - 4 a^{2} + 1

Expand

(2 a - 1)^{3} : 8 a^{3} - 12 a^{2} + 6 a - 1

= 8 a^{3} - 12 a^{2} + 6 a - 1 - 4 a^{2} + 1

Group like terms

= 8 a^{3} - 12 a^{2} - 4 a^{2} + 6 a - 1 + 1

Add similar elements:

- 12 a^{2} - 4 a^{2} = - 16 a^{2}

= 8 a^{3} - 16 a^{2} + 6 a - 1 + 1

Add the numbers:

- 1 + 1 = 0

= 8 a^{3} - 16 a^{2} + 6 a

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Frequently Asked Questions (FAQ)

What is (2a-1)^3-4a^2+1 ?
The solution to (2a-1)^3-4a^2+1 is 8a^3-16a^2+6a