jmc

Question

Expand (2x^5 + 3x^2)(x^4 - 4x^2 + 3x - 8).

Accepted Answer

Using the distributive property, we have align* &(2x^5 + 3x^2)(x^4 - 4x^2 + 3x - 8) &= 2x^5(x^4 - 4x^2 + 3x - 8) + 3x^2(x^4 - 4x^2 + 3x - 8) &= 2x^9 - 8x^7 + 6x^6 - 16x^5 + 3x^6 - 12x^4 + 9x^3 - 24x^2 &= 2x^9 - 8x^7 + 9x^6 - 16x^5 - 12x^4 + 9x^3 - 24x^2. align*