Multiple two binomials: expand and simplify (2x-3)^2

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
6 months ago

To expand and simplify (2x-3)^2, we can use the formula (a-b)^2 = a^2 - 2ab + b^2.

In this case, a = 2x and b = 3.

Therefore, (2x-3)^2 = (2x)^2 - 2*(2x)*(3) + (3)^2
= 4x^2 - 12x + 9

So, the expanded and simplified form of (2x-3)^2 is 4x^2 - 12x + 9.