# How do you expand #(2y^2+x)^7#?

##### 1 Answer

#### Explanation:

When expanding an expression like this, knowing Pascal's Triangle is crucial:

(Source)

Since this expression is of degree 7 (i.e. has highest power 7), there will be 8 terms in the expansion (like in a quadratic equation where the highest power is 2, there are 3 terms).

As you can see, the

We use these numbers as coefficients in the expansion of

As you can see from the answer, the powers on the

Basically, to expand this expression you need to multiply the numbers of Pascal's Triangle with the exponents on the first term of the expression (

(This response has been closely based off HSBC244's reply to a similar question).