%5E2.jpeg "(8x^4+1)^2")
Expanding (8x^4 + 1)^2
The expression (8x^4 + 1)^2 represents the square of a binomial. To expand it, we can use the following formula:
(a + b)^2 = a^2 + 2ab + b^2
In this case, our 'a' is 8x^4 and our 'b' is 1. Applying the formula, we get:
(8x^4 + 1)^2 = (8x^4)^2 + 2(8x^4)(1) + (1)^2
Simplifying each term:
- (8x^4)^2 = 64x^8
- 2(8x^4)(1) = 16x^4
- (1)^2 = 1
Combining the simplified terms, we get the expanded form of the expression:
(8x^4 + 1)^2 = 64x^8 + 16x^4 + 1
Therefore, the expanded form of (8x^4 + 1)^2 is 64x^8 + 16x^4 + 1.