Which one is the value of (x + y)² + 2(x + y)(x - y) + (x - y)² ?

(x³y - xy³) and (x - y)(x + 2y) are two algebraic expression. Which one of the following is the resolution into factors of the first expression?

If a quantity is divisible without remainder by another quantity. What is called dividends with respect to the divisor?

What is the H.C.F. of x³y⁵ and a² - b²?

If a, b are real numbers
(i) (a + b)² = a²+ 2ab + b²
(ii) 4ab = (a + b)²+ (a - b)²
(iii) a²- b² = (a + b)(a - b)
Which one of the following is correct?

If a + b = 4 and a – b = 2, what is the value of ab?

Which one is the least common multiple of a, a², and (a + b)?

(x³y - xy³) and (x - y)(x + 2y) are two algebraic expression. Which one of the following is the L.C.M. of the two algebraic expressions?

What is the H.C.F. of 2a and 3b?

Which one is the square of a - 5?