how to solve (5x^2+2x+1)(x^2-3x+5)

Question

how to solve (5x^2+2x+1)(x^2-3x+5)

Answer 1

You need to multiply each term in the first parenthesis by each term in the second parenthesis:

5x²(x² - 3x + 5) + 2x(x² - 3x + 5) + 1(x² - 3x + 5)

5x⁴ - 15x³ + 25x² + 2x³ - 6x² + 10x + x² -3x + 5

Combine like terms to simplify the solution

5x⁴ -13x³ + 20x² + 7x + 5