Question

The HCF of x² - 2xy + y² and x²-ya ir​

Answer 1

Step-by-step explanation:

Step 1: Write the first expression given in the question.

Step 2: Here, we are finding H.C.F. using factorisation. So, find the factors of the first expression. We find the factors using the formula (a²-b²) = (a+b)(a-b).

Step 3: Write the second expression given in the question.

Step 4: This expression is an expanded form of (a+b)² = (a²+2ab+b²). So, we write it in square form.

Step 5: To make it easy to find HCF, we write (x+y)² in factor form.

Step 6: Write the H.C.F. (Highest Common Factor) of the given expressions by analysing the factors you generated in each expressions. Here, (x+2) are the only common factors.