Question

(a+одна вторая b)^2-ab

Answer 1

А^2+ав+1/4в^-ав=а^2+1/4в^

Answer 2

To simplify the expression (a + 1/2b)^2 - ab, we'll follow these steps:

Step 1: Expand the square term (a + 1/2b)^2 (a + 1/2b)^2 = (a + 1/2b) * (a + 1/2b) Expanding using the FOIL method: (a + 1/2b) * (a + 1/2b) = a^2 + (1/2b)a + (1/2b)a + (1/2b)^2 = a^2 + ab/2 + ab/2 + b^2/4 = a^2 + ab + ab + b^2/4 = a^2 + 2ab + b^2/4

Step 2: Substitute the expanded term into the expression: (a + 1/2b)^2 - ab = (a^2 + 2ab + b^2/4) - ab = a^2 + 2ab + b^2/4 - ab

Step 3: Combine like terms: a^2 - ab + 2ab + b^2/4 = a^2 + ab + b^2/4

So, the simplified expression is a^2 + ab + b^2/4.