Solution - Simplification or other simple results
Other Ways to Solve:
Step by Step Solution
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "a2" was replaced by "a^2".
Step 1 :
Trying to factor by splitting the middle term
1.1 Factoring a2-8a-180
The first term is, a2 its coefficient is 1 .
The middle term is, -8a its coefficient is -8 .
The last term, "the constant", is -180
Step-1 : Multiply the coefficient of the first term by the constant 1 • -180 = -180
Step-2 : Find two factors of -180 whose sum equals the coefficient of the middle term, which is -8 .
| -180 | + | 1 | = | -179 | ||
| -90 | + | 2 | = | -88 | ||
| -60 | + | 3 | = | -57 | ||
| -45 | + | 4 | = | -41 | ||
| -36 | + | 5 | = | -31 | ||
| -30 | + | 6 | = | -24 | ||
| -20 | + | 9 | = | -11 | ||
| -18 | + | 10 | = | -8 | That's it |
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -18 and 10
a2 - 18a + 10a - 180
Step-4 : Add up the first 2 terms, pulling out like factors :
a • (a-18)
Add up the last 2 terms, pulling out common factors :
10 • (a-18)
Step-5 : Add up the four terms of step 4 :
(a+10) • (a-18)
Which is the desired factorization
Final result :
(a + 10) • (a - 18)
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