Find the product of x2(4x − 3)
To find the product, we need to distribute x2 to each term inside the parentheses:
x2(4x − 3) = x2(4x) − x2(3)
Simplifying, we have:
x2(4x) = 4x3 (using the exponent rule x^m * x^n = x^(m+n))
x2(3) = 3x2 (using the exponent rule x^m * x^n = x^(m+n))
Therefore, the product is:
x2(4x − 3) = 4x3 − 3x2
To find the product of x^2(4x - 3), we can use the distributive property.
First, distribute x^2 to both terms inside the parentheses:
x^2 * 4x = 4x^3
x^2 * -3 = -3x^2
Now, combine the two terms:
4x^3 - 3x^2
Therefore, the product of x^2(4x - 3) is 4x^3 - 3x^2.