Factored expression 16m2-9

The factored form of 16m²-9 = (4m+3) (4m-3)

Step-by-step explanation:

16m²-9

To find the factors of the expression, first you have to find out the perfect square of the terms:

4 is the perfect square of 16

∴4 is the number if multiplied two times wil give the product of 16.

m is the perfect square of m²

3 is the perfect square of 9

Then,

16m2-9 = (4m) ² - (3) ²

Now apply the perfect square formula:

a² - b² = (a+b) (a-b)

Therefore,

(4m) ² - (3) ² = (4m+3) (4m-3)

Thus the factored form of 16m²-9 = (4m+3) (4m-3) ...