15x5 - 3x3 - 9x2 by -3x2
To find the resulting expression when we multiply 15x5 - 3x3 - 9x2 by -3x2, we need to distribute the -3x2 to each term in the expression:
-3x2 * 15x5 = -45x7 (multiplied the coefficients and added the exponents of x)
-3x2 * -3x3 = 9x5 (multiplied the coefficients and added the exponents of x)
-3x2 * -9x2 = 27x4 (multiplied the coefficients and added the exponents of x)
So the resulting expression is:
-45x7 + 9x5 + 27x4
To find the product of (15x^5 - 3x^3 - 9x^2) and (-3x^2), we need to distribute the terms in the first expression by the terms in the second expression. Here's how to do it step-by-step:
Step 1: Distribute -3x^2 to each term in (15x^5 - 3x^3 - 9x^2):
-3x^2 * 15x^5 = -45x^7
-3x^2 * -3x^3 = 9x^5
-3x^2 * -9x^2 = 27x^4
Step 2: Combine the results from Step 1:
-45x^7 + 9x^5 + 27x^4
Therefore, the product of (15x^5 - 3x^3 - 9x^2) and (-3x^2) is -45x^7 + 9x^5 + 27x^4.