Question

Find 14×16 without direct multiplication. (express 14 and 16 in terms of 15)​. Please show in calculations.​

Answer 1

Step-by-step explanation:

1.Firstly we know that 14 = (15 - 1) and also 16 = (15+1) so,

• 14 × 16 = (15-1) × (15+1)

2. Now we multiply them

14×16= 15(15-1) + 1(15-1)

14×16= 225-15+15-1

14×16= 225-1

14×16= 224

So the answer of 14×16 = 224