Advertisements
Advertisements
Question
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: (467)2 − (33)2
Advertisements
Solution
Here, we will use the identity \[(a - b)(a + b) = a^2 - b^2\]
Let us consider the following expression:
\[\left( 467 \right)^2 - \left( 33 \right)^2 \]
\[ = \left( 467 + 33 \right)\left( 467 - 33 \right)\]
\[ = 500 \times 434\]
\[ = 217000\]
APPEARS IN
RELATED QUESTIONS
Show that (a - b)(a + b) + (b - c) (b + c) + (c - a) (c + a) = 0
Simplify the following using the identities: \[\frac{{58}^2 - {42}^2}{16}\]
Simplify the following using the identities: 1.73 × 1.73 − 0.27 × 0.27
Find the following product: (z2 + 2) (z2 − 3)
Using algebraic identity, find the coefficients of x2, x and constant term without actual expansion
(x + 5)(x + 6)(x + 7)
By using identity evaluate the following:
`1 + 1/8 - 27/8`
Expand the following, using suitable identities.
(0.9p – 0.5q)2
Carry out the following division:
76x3yz3 ÷ 19x2y2
Perform the following division:
(x3y3 + x2y3 – xy4 + xy) ÷ xy
Perform the following division:
(– qrxy + pryz – rxyz) ÷ (– xyz)
