Question

Multiply (3x – 1)(5x – 9)

Answer 1

According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

`(a+b)\cdot c=a\cdot c+b\cdot c`

Using this property in our problem, we have:

`\begin{gathered} (3x-1)(5x-9)=3x(5x-9)-1(5x-9) \\ =(3x)\cdot(5x)+(3x)\cdot(-9)+(-1)\cdot(5x)+(-1)\cdot(-9) \\ =15x^2-27x-5x+9 \\ =15x^2-32x+9 \end{gathered}`