Question

(X-3) times (4x+2) yawing distributive property

Answer 1

For two binomials, the distributive property is:

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

So, let's solve this problem.

Step 01: Multiply the first term of the binomial (x - 3) by both terms of the binominal (4x + 2).

`(x-3)\cdot(4x+2)=x\cdot4x+x\cdot2+\cdots_{}`

Step 02: Multiply the second term of the binomial (x - 3) by both terms of the binominal (4x + 2).

`(x-3)\cdot(4x+2)=x\cdot4x+x\cdot2+(-3)\cdot4x+(-3)\cdot2`

Step 03: Multiply the terms.

`=4x^2+2x-12x-6`

Step 04: Add like terms.

`=4x^2-10x-6`

Answer:

`4x^2-10x-6`