Solution - Simplification or other simple results
Step by Step Solution
Step 1 :
Equation at the end of step 1 :
((2•5m2) + 89m) - 9
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 10m2+89m-9
The first term is, 10m2 its coefficient is 10 .
The middle term is, +89m its coefficient is 89 .
The last term, "the constant", is -9
Step-1 : Multiply the coefficient of the first term by the constant 10 • -9 = -90
Step-2 : Find two factors of -90 whose sum equals the coefficient of the middle term, which is 89 .
| -90 | + | 1 | = | -89 | ||
| -45 | + | 2 | = | -43 | ||
| -30 | + | 3 | = | -27 | ||
| -18 | + | 5 | = | -13 | ||
| -15 | + | 6 | = | -9 | ||
| -10 | + | 9 | = | -1 | ||
| -9 | + | 10 | = | 1 | ||
| -6 | + | 15 | = | 9 | ||
| -5 | + | 18 | = | 13 | ||
| -3 | + | 30 | = | 27 | ||
| -2 | + | 45 | = | 43 | ||
| -1 | + | 90 | = | 89 | That's it |
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -1 and 90
10m2 - 1m + 90m - 9
Step-4 : Add up the first 2 terms, pulling out like factors :
m • (10m-1)
Add up the last 2 terms, pulling out common factors :
9 • (10m-1)
Step-5 : Add up the four terms of step 4 :
(m+9) • (10m-1)
Which is the desired factorization
Final result :
(10m - 1) • (m + 9)
How did we do?
Please leave us feedback.