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Im stuck on factoring... I actually can't wrap my mind

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Im stuck on factoring.....

Im stuck on factoring... I actually can't wrap my mind around it. The question is 49m^2-16

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I need to understand the steps of factoring. I've done a question already: 36x^3-12x and I had a friend walk me through it and eventually I got the answer: 12x(3x^2+1)(3x^2-1), but I am still not sure how I got there

Submitted: 9 months ago.Category: Math Homework
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10/18/2017
Math Tutor or Teacher: Sandhya_sharma, Master's Degree replied 9 months ago
Sandhya_sharma
Sandhya_sharma, Master's Degree
Category: Math Homework
Satisfied Customers: 3,762
Experience: I hold M.Sc and M.Phil degrees in math and have several years of teaching experience.
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Question: Factor 49m^2 -16

Solution:

We can write it as

49m^2 - 16

= (7m)^2 - 4^2

Now apply the formula a^2 - b^2 = (a-b)(a+b)

= (7m-4)(7m +4)

Answer: (7m-4)(7m+4)

Let me know if you have any doubt. Please don't forget to accept the answer.

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