SOLUTION: How do I factor this equation? {{{81m^2 -25(3m-2)^2}}} My attempt: {{{ (9m-5(3m-2))(9m+5(3m-2)) }}} {{{(-6m+10)(24m-10)}}} {{{2(-3m+5)(12m-5)}}} But it turns out the

Algebra ->  Expressions-with-variables -> SOLUTION: How do I factor this equation? {{{81m^2 -25(3m-2)^2}}} My attempt: {{{ (9m-5(3m-2))(9m+5(3m-2)) }}} {{{(-6m+10)(24m-10)}}} {{{2(-3m+5)(12m-5)}}} But it turns out the       Log On


   

Question 908022: How do I factor this equation?
81m%5E2+-25%283m-2%29%5E2
My attempt:
+%289m-5%283m-2%29%29%289m%2B5%283m-2%29%29+
%28-6m%2B10%29%2824m-10%29
2%28-3m%2B5%29%2812m-5%29
But it turns out the correct answer is 4%283m-5%29%2812m-5%29
How?
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
?
81m%5E2+-25%283m-2%29%5E2
81m%5E2-25%289m%5E2-12m%2B4%29
81m%5E2-225m%5E2%2B300m-100
-144m%5E2%2B300m-100
-12%2A12m%5E2%2B4%2A75m-4%2A25
-4%2A3%2A12m%5E2%2B4%2A75m-4%2A25
-4%2836m%5E2-75m%2B25%29
from which with some effort you could possibly factor the quadratic factor.

You could check my steps for mistakes; but my result does not equate to your expected answer.

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
81m%5E2+-25%283m-2%29%5E2
81m%5E2+-25%289m%5E2-2%2A3m%2A2%2B4%29
81m%5E2+-25%289m%5E2-12m%2B4%29
81m%5E2+-225m%5E2%2B300m-100
-144m%5E2%2B300m-100.....write 300m as 240m%2B60m
240m-100-144m%5E2%2B60m ... factor out 4
4+%2860m-25-36m%5E2%2B15m%29+ ....group
4+%28%2860m-36m%5E2%29%2B%2815m-25%29%29+
4+%2812m%285-3m%29%2B5%283m-5%29%29+
4+%285-3m%29%2812m-5%29