Answer:
The product of \((x + 3)(2x -1)=2x^2+5x-3\)
Step-by-step explanation:
Given : Two expressions (x + 3) and (2x – 1)
We have to find the product of given expression that is \((x + 3)(2x -1)\)
Consider the given expression \((x + 3)(2x -1)\)
Multiply each term of first bracket with each term of second bracket
\(\left(a+b\right)\left(c+d\right)=ac+ad+bc+bd\)
we have,
\(=x\cdot \:2x+x\left(-1\right)+3\cdot \:2x+3\left(-1\right)\)
Simplify, \(-(-a)=+a\)
we have \(=2xx-1\cdot \:x+3\cdot \:2x-3\cdot \:1\)
Simplify, we get,
\(=2x^2-x+6x-3\)
Adding like terms, we have,
\(=2x^2+5x-3\)
Thus, the product of \((x + 3)(2x -1)=2x^2+5x-3\)
