factorize 4m^2 + 9 /m ^2 – 12
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Factoring 4m2-12m+9
The first term is, 4m2 its coefficient is 4 .
The middle term is, -12m its coefficient is -12 .
The last term, "the constant", is +9
Step-1 : Multiply the coefficient of the first term by the constant 4 • 9 = 36
Step-2 : Find two factors of 36 whose sum equals the coefficient of the middle term, which is -12 .
-36 + -1 = -37
-18 + -2 = -20
-12 + -3 = -15
-9 + -4 = -13
-6 + -6 = -12 That's it
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