Question

Select the correct product of (x + 3)(x - 5). CX - 15 X5 + 3x - 5x2 - 15 X - 15 C x + 3x - 5x - 15

Answer 1

Distributive property:

`(a+b)(c+d)=ac+ad+bc+bd`

Multiplication of powers with the same base:

`a^m\cdot a^n=a^(m+n)`

For the given expression:

`\begin{gathered} (x^2+3)(x^3-5)=x^2\cdot x^3+x^2\cdot(-5)+3\cdot x^3+3\cdot(-5) \\ \\ =x^(2+3)-5x^2+3x^3-15 \\ =x^5-5x^2+3x^3-15 \\ =x^5+3x^3-5x^2-15 \end{gathered}`

Answer is the second option