Mathematics: A) simplify the expression and explain each step. (2 points) 4(3x + 2) – 2 b) factor the expression completely. (1 point) 20b – 16

l = 8s = 3Step-by-step explanation:...

A) simplify the expression and explain each step.

ReonRamseyz

14.03.2022

a) $4\left(3x+2\right)-2=12x+6$

b) $20b-16= 4\left(5b-4\right)$

Step-by-step explanation:

a) To simplify the expression you must:

Expand 4(3x + 2) :

Apply the distributive law: $\:a\left(b+c\right)=ab+ac$

$a=4,\:b=3x,\:c=2\\\\4\left(3x+2\right)=4\cdot \:3x+4\cdot \:2$

Simplify $4\cdot \:3x+4\cdot \:2= 12x+8$

12x+8-2

Subtract the numbers: $4\left(3x+2\right)-2=12x+6$

b) To factor the expression 20b - 16 you must:

Rewrite 16 as $4\cdot 4$ and 20 as $4\cdot 5$

$20b-16=4\cdot \:5b-4\cdot \:4$

Factor out common term 4

$20b-16= 4\left(5b-4\right)$

0,0(0 оценок)