Question

factorise: 9m²n²-16 ​

Answer 1

Answer:

(3mn + 4)(3mn - 4)

Step-by-step explanation:

9m^2n^2 - 16

= (3mn)^2 - (4)^2

= (3mn+4)(3mn-4) [a^2 - b^2 = (a + b)(a - b)]

Answer 2

Answer:

The factors of the expression $9m^{2} n^{2} -16$ is $(3mn+4)(3mn-4)$.

Step-by-step explanation:

Given : $9m^{2} n^{2} -16$

To find : The factors of the given expression.

Solution :

• The given expression is $9m^{2} n^{2} -16$
• We have to find the factors of the given expression.
• We know the identity that,

        $a^{2} -b^{2} =(a+b)(a-b)$

• Here, $a=3mn$ and $b=4$.
• So, the given expression becomes,

       $9m^{2} n^{2} -16 = (3mn)^{2} -(4)^{2}$

                        $=(3mn+4)(3mn-4)$

• ∴ The factors of the expression $9m^{2} n^{2} -16$ is $(3mn+4)(3mn-4)$.