Question

Factor
2 (5a-1)^(3/4)
+ 7a ( 5a-1)^(-1/4)​

Answer 1

Answer:

Factoring 70a2+a-3

The first term is, 70a2 its coefficient is 70 .

The middle term is, +a its coefficient is 1 .

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

Step-1 : Multiply the coefficient of the first term by the constant 70 • -3 = -210

Step-2 : Find two factors of -210 whose sum equals the coefficient of the middle term, which is 1 .

-210 + 1 = -209

-105 + 2 = -103

-70 + 3 = -67

-42 + 5 = -37

-35 + 6 = -29

-30 + 7 = -23

-21 + 10 = -11

-15 + 14 = -1

-14 + 15 = 1 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -14 and 15

70a2 - 14a + 15a - 3

Step-4 : Add up the first 2 terms, pulling out like factors :

14a • (5a-1)

Add up the last 2 terms, pulling out common factors :

3 • (5a-1)

Step-5 : Add up the four terms of step 4 :

(14a+3) • (5a-1)

Which is the desired factorization

Calculating the Least Common Multiple :