# Math!!! can't solve this...

posted by .

If the expression (x^2+2x−1)^8 is completely expanded, what is the sum of the coefficients of the terms with even powers of x?

• Math!!! can't solve this... -

256
Not sure what's the point of using such a high power. Tedious, but doesn't provide any real insight.

• Math!!! can't solve this... -

@Steve r u sure of ur answer?

• Math!!! can't solve this... -

Steve is correct, the sum is 256

I let Wolfram do all the drudgery

http://www.wolframalpha.com/input/?i=expand+%28x%5E2%2B2x−1%29%5E8

Agree with Steve, this question is simply a test of patience.

• Math!!! can't solve this... -

Thanks, Reiny. I used wolfram also :)

## Similar Questions

1. ### math

In the binomial series from (a+b)^5, the powers of a decrease by 1 each term, and the powers of b increase by 1. If you carry on this pattern beyond te "end" of the series you get a^5 + _a^4 b + _a^3 b^2 + _a^2 b^3 + _a^1 b^4 + _a^0 …
2. ### math

1. What is the sum of 5/6 + 2/3? 2. Sue needs 2 1/3 cups of flour for a batch of cookies. How many complete batches can she make with 10 cups of flour?
3. ### algebra

If the expression (x2+2x−1)8 is completely expanded, what is the sum of the coefficients of the terms with even powers of x?
4. ### maths

If the expression (x^2+2x−1)^8 is completely expanded, what is the sum of the coefficients of the terms with even powers of x?
5. ### Algebra

I already posted this question,Steve answered it. I just wanted to clarify my answer. Problem:Find h(x) with terms in order of decreasing degree, if 9x^3-3x+1+h(x)=3x^2-5x+3. Steve: h(x) = (3x^2-5x+3)-(9x^3-3x+1) so, just subtract …
6. ### math

Completely factor the expression 2a3 − 128. A. 2(a − 4)3 B. 2(a − 4)(a2 + 4a + 16) C. 2(a3 − 64) D. Prime Completely factor the expression 7(x − y) − z(x − y). A. Prime B. (x − y)(7 − …
7. ### math

Completely factor the expression 16t3 − 50t2 + 36t. A. 2t(8t − 9)(t − 2) B. Prime C. 2t(8t + 9)(t + 2) D. 2t(8t − 25t + 18)   Completely factor the expression 48u4v4 − 18u2v2 − 3u8v5. …
8. ### math

Completely factor the expression 16t3 − 50t2 + 36t. A. 2t(8t − 9)(t − 2) B. Prime C. 2t(8t + 9)(t + 2) D. 2t(8t − 25t + 18)   Completely factor the expression 48u4v4 − 18u2v2 − 3u8v5. …
9. ### Math

When you solve the system shown by the elimination method, which statement is true?