Advertisements
Advertisements
Question
Evaluate the following: 34 × 36
Advertisements
Solution
Here, we will use the identity \[\left( x + a \right)\left( x + b \right) = x^2 + \left( a + b \right)x + ab\]
\[34 \times 36\]
\[ = \left( 30 + 4 \right)\left( 30 + 6 \right)\]
\[ = {30}^2 + \left( 4 + 6 \right)30 + 4 \times 6\]
\[ = 900 + 300 + 24\]
\[ = 1224\]
APPEARS IN
RELATED QUESTIONS
Simplify the following using the identities: \[\frac{8 . 63 \times 8 . 63 - 1 . 37 \times 1 . 37}{0 . 726}\]
Find the following product: (x − 11) (x + 4)
Find the following product: (y2 − 4) (y2 − 3)
Find the following product: \[\left( x + \frac{4}{3} \right)\left( x + \frac{3}{4} \right)\]
Expand the following:
(3a + 1) (3a – 2) (3a + 4)
If 2x – 3y – 4z = 0, then find 8x3 – 27y3 – 64z3
2p is the factor of 8pq
Expand the following, using suitable identities.
`((2a)/3 + b/3)((2a)/3 - b/3)`
Using suitable identities, evaluate the following.
(995)2
Perform the following division:
(x3y3 + x2y3 – xy4 + xy) ÷ xy
