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 `(4/3 m - 3/4 n)^2 + 2mn = 16/9 m^2 + 9/16 n^2`
Simplify the following using the identities: \[\frac{{58}^2 - {42}^2}{16}\]
Find the value of x, if 14x = (47)2 − (33)2.
If (x + y + z) = 9 and (xy + yz + zx) = 26, then find the value of x2 + y2 + z2
On dividing 57p2qr by 114pq, we get ______.
Simplify:
(3x + 2y)2 – (3x – 2y)2
Simplify:
(4.5a + 1.5b)2 + (4.5b + 1.5a)2
Expand the following, using suitable identities.
(x2y – xy2)2
Expand the following, using suitable identities.
(x2 + y2)(x2 – y2)
Match the expressions of column I with that of column II:
| Column I | Column II |
| (1) (21x + 13y)2 | (a) 441x2 – 169y2 |
| (2) (21x – 13y)2 | (b) 441x2 + 169y2 + 546xy |
| (3) (21x – 13y)(21x + 13y) | (c) 441x2 + 169y2 – 546xy |
| (d) 441x2 – 169y2 + 546xy |
