Type 3:

Basic method:

To solve this problem in basic method we can use one formula

i.e. here a=42 b=97 c=56

By using this formula we can not solve this problem in less time. So to solve this problem in less time there an alternative method as shown below.

#### Shortcut Method:

**Step 1**: Find the factors for first term 42

The factors are 2,3,6,7,42,1

6,7 are the appropriate factors for this case (See the below diagram for more details)

**Step 2:** Find the factors for constant 56

The factors are 2,3,7,8,56,1

7,8 factors are the appropriate factors for this case (See the below diagram for more details)

**Step 3:** Select 7 in the first one and 7 in the second one and multiply both

7*7=49

**Step 4:** Select 6 in the first one and 8 in the second one and multiply both

6*8=48

**Step 5:** Add both 49+48=97 which is equal to middle number i.e.97

**Step 6:** Divide the,

The result after the division –

**Step 7:** Change the sign

Observe the **diagram** for the given equation