Question

common factors in the expression 6a^2 - 8ab + 4a is?​

Answer 1

Answer:

$\mathrm{Factor}\:6a^2-8ab+4a:\quad 2a\left(3a-4b+2\right)$

Step-by-step explanation:

$6a^2-8ab+4a$

$\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c$

$a^2=aa$

$=6aa-8ab+4a$

$\mathrm{Rewrite\:}4\mathrm{\:as\:}2\cdot \:2$

$\mathrm{Rewrite\:}-8\mathrm{\:as\:}4\cdot \:2$

$\mathrm{Rewrite\:}6\mathrm{\:as\:}3\cdot \:2$

$=3\cdot \:2aa+4\cdot \:2ab+2\cdot \:2a$

$\mathrm{Factor\:out\:common\:term\:}2a$

$=2a\left(3a-4b+2\right)$