Question

Find the product of ( 5a - 3b )^2 using a suitable identity

Answer 1

Answer:

25a-9b

Step-by-step explanation:

5a^2-3b^2=25a-9b

Hope it's helpful

Answer 2

Given,

• $(5a-3b)^2$  is given.

To find,

• We have to find the product  $(5a-3b)^2$ by using a suitable identity.

Solution,

We can simply find the product  $(5a-3b)^2$ by using the following identity:

        (a-b)² = a²+b²-2ab    (*)

where a= 5a and b = 3b

Using (*), we get

           (5a)² + (3b)² -2(5a)(3b)

            25a² +9b²-30ab

∴ The product is 25a² +9b²-30ab.

Hence, the product of $(5a-3b)^2$ using a suitable identity is  25a² +9b²-30ab.