factor 8x^3+4x^5
x^3 (4 x^2 + 8) =
4 x^3 (x^2+2)
what does it equal -2
To factor the expression 8x^3 + 4x^5, we need to find the common factors and then factor out the greatest common factor.
Step 1: Find the common factors
In this expression, the common factor is 4x^3, which can be obtained by looking at the coefficients (8 and 4) and the exponents of x (3 and 5). Both terms have x^3 as a common factor.
Step 2: Factor out the greatest common factor
To factor out the greatest common factor, divide each term by 4x^3:
8x^3 ÷ 4x^3 = 2
4x^5 ÷ 4x^3 = x^2
Now we can rewrite the original expression as the product of the greatest common factor and the factored expression:
8x^3 + 4x^5 = 4x^3(2 + x^2)
Therefore, the factored form of 8x^3 + 4x^5 is 4x^3(2 + x^2).