Advertisements
Advertisements
प्रश्न
Evaluate the following: 103 × 96
Advertisements
उत्तर
Here, we will use the identity
\[\left( x + a \right)\left( x - b \right) = x^2 + \left( a - b \right)x - ab\]
\[103 \times 96\]
\[ = \left( 100 + 3 \right)\left( 100 - 4 \right)\]
\[ = {100}^2 + \left( 3 - 4 \right)100 - 3 \times 4\]
\[ = 10000 - 100 - 12\]
\[ = 9888\]
APPEARS IN
संबंधित प्रश्न
Show that (3x + 7)2 − 84x = (3x − 7)2
Show that (a - b)(a + b) + (b - c) (b + c) + (c - a) (c + a) = 0
Simplify the following using the identities: 178 × 178 − 22 × 22
Simplify the following using the identities: 1.73 × 1.73 − 0.27 × 0.27
Find the value of x, if 14x = (47)2 − (33)2.
Find the following product: (3x − 4y) (2x − 4y)
Expand the following:
(2x + 3y + 4z)2
If 2x – 3y – 4z = 0, then find 8x3 – 27y3 – 64z3
Expand the following, using suitable identities.
`((2a)/3 + b/3)((2a)/3 - b/3)`
Perform the following division:
(– qrxy + pryz – rxyz) ÷ (– xyz)
