Question

6a3 + 12а2 - 18а factorize please tell step by step I will mark you brainlist ​

Answer 1

Answer:

STEP

1

:

Equation at the end of step 1

((6 • (a3)) - (22•3a2)) + 18a

STEP

2

:

Equation at the end of step

2

:

((2•3a3) - (22•3a2)) + 18a

STEP

3

:

STEP

4

:

Pulling out like terms

4.1 Pull out like factors :

6a3 - 12a2 + 18a = 6a • (a2 - 2a + 3)

Trying to factor by splitting the middle term

4.2 Factoring a2 - 2a + 3

The first term is, a2 its coefficient is 1 .

The middle term is, -2a its coefficient is -2 .

The last term, "the constant", is +3

Step-1 : Multiply the coefficient of the first term by the constant 1 • 3 = 3

Step-2 : Find two factors of 3 whose sum equals the coefficient of the middle term, which is -2 .

-3 + -1 = -4

-1 + -3 = -4

1 + 3 = 4

3 + 1 = 4

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

6a • (a2 - 2a + 3)