Question

Evaluate the following: 34 × 36

Answer 1

Here, we will use the identity \[\left( x + a \right)\left( x + b \right) = x^2 + \left( a + b \right)x + ab\]

\[34 \times 36\]

\[ = \left( 30 + 4 \right)\left( 30 + 6 \right)\]

\[ = {30}^2 + \left( 4 + 6 \right)30 + 4 \times 6\]

\[ = 900 + 300 + 24\]

\[ = 1224\]