Question

Solve (x^2+3x-2)(x^2-2x+15)​

Answer 1

Answer: x^4 + x^3 + 7x^2 + 49x - 30

Explanation:

first, we use the distributive property.

x^2 x (x^2 - 2x + 15) + 3x x (x^2 -2x + 15) - 2(x^2 - 2x + 15)

then, we remove the parenthesis.

x^4 - 2x^3 + 15x^2 + 3x^3 - 6x^2 + 45x - 2x^2 + 4x - 30

then, we collect like terms.

x^4 + x^3 + 7x^2 + 49x - 30