Question

find (3x+2) Power raise to 3, using identity​

Answer 1

★ANSWER :-

Given: The equation ( (3x/2) + 1)^3

To find: Write it in expanded form.

Solution:

Now we have given ( (3x/2) + 1)^3

We know the formula:

                (a + b)^3 = a^3 + b^3 + 3ab(a+b)

So using this formula, we get:

     

⟹( (3x/2) + 1)^3 = (3x/2)^3 + 1^3 + 3(3x/2)(1)((3x/2) + 1)

⟹( (3x/2) + 1)^3 = (3x/2)^3 + 1^3 + 3(3x/2)(1)((3x/2) + 1)

⟹( (3x/2) + 1)^3 = 27x^3 / 8 + 1 + 27x^2 /4 + 9x/2

⟹( (3x/2) + 1)^3 = (3x/2)^3 + 1^3 + 3(3x/2)(1)((3x/2) + 1)

⟹( (3x/2) + 1)^3 = 27x^3 / 8 + 1 + 27x^2 /4 + 9x/2

⟹( (3x/2) + 1)^3 = 27x^3 / 8 + 27x^2 /4 + 9x/2 + 1

               

HOPE THIS HELPS ☺️❤️

BE BRAINLY ⚡☃️