**For this week, we recapped that:**

For expansion =

a) (a+b)² = a²+2ab+b²

b) (a-b)² = a²-2ab+b²

c) (a+b)(a-b) = a²-b²

Note:

a²+b² is NOT equals to (a+b)²

a²+b is equal to (a+b)²-2ab

For Factorization -

c) via common factors

3a + 12 = 3(a+4)

b) via perfect square

a²+4a+4= (a)² + 2(a)(2)+(2)² = (a+2)²

a²-4a+4 = (a)² + 2(a)(-2)+(-2)²

= (a)² - 2(a)(2)+(-2)²

= (a-2)²

c) via trail and error

d) via grouping

px+py+qx+qy = p(x+y) q(x+y)

**For this week, we have done these examples:**

Example 01:

Note: Find the Pattern - ½ - ⅓ same as 1/x - 1/x+1

Example 03:

Note: Factorize & Simplify each fraction independently

***Take Note!**

Steps for solving questions-

- Factorize the denominator of the fraction independently
- If there are two separate fractions, factorize each fraction it by itself
- Find the LCM of both the fractions
- Make the two fractions into one.

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