Question

test information description instructions multiple attempts this test allows multiple attempts. force completion this test can be saved and resumed la your answers are saved automatically. question completion status: moving to another question will save this respons question 7 ((x + y)^2 = x^2 + y^2) true false moving to another question will save this response.

Explanation:

Step1: Expand \((x + y)^2\)

Using the formula for squaring a binomial, \((a + b)^2 = a^2 + 2ab + b^2\). Here, \(a = x\) and \(b = y\), so \((x + y)^2 = x^2 + 2xy + y^2\).

Step2: Compare with \(x^2 + y^2\)

We see that \(x^2 + 2xy + y^2\) is not equal to \(x^2 + y^2\) (unless \(xy = 0\), but in general, for all real numbers \(x\) and \(y\), the two expressions are not equal).

Answer:

False