Question

Simplify: (4^n+2 -4^n+1) ÷5×4^n - 4^n
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Answer 1

Answer:

(22n2 - 18n) + 6

4n2 - 18n + 6 = 2 • (2n2 - 9n + 3)

Factoring 2n2 - 9n + 3

The first term is, 2n2 its coefficient is 2 .

The middle term is, -9n its coefficient is -9 .

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

Step-1 : Multiply the coefficient of the first term by the constant 2 • 3 = 6

Step-2 : Find two factors of 6 whose sum equals the coefficient of the middle term, which is -9 .

-6 + -1 = -7

-3 + -2 = -5

-2 + -3 = -5

-1 + -6 = -7

1 + 6 = 7

2 + 3 = 5

3 + 2 = 5

6 + 1 = 7

Final result :

2 • (2n2 - 9n + 3)