Question

Expand (2x + 3) ³ in (a+b)^3 formula from identities

Answer 1

hope so it will help you

Answer 2

$\textbf{\huge{ANSWER:}}$

We know by identity that:-

$(a+b)^{3} = a^{3} + b^{3} + 3ab^{2} + 3a^{2} b$

Put a = 2x
And
b = 3

Now that you have the values of a and b, putting them in the formula, we get;

$(2x+3)^{3} = (2x)^{3} + 3^{3} + 3(2x)(3)^{2} + 3(2x)^{2}(3)$

Solve it further and there will be your answer;

=》 $(2x+3)^{3} = 8x^{3} + 27 + 54x + 36x^{2}$

Now that you've got your answer, just simplify it by putting all the terms in descending order in accordance to their powers:-

=》 $(2x+3)^{3} = 8x^{3} + 36x^{2} + 54x + 27$

We've just used the identity we knew! I had mentioned the identity at the very starting of the answer. You can see it. Just put the values and solve it :)