Advertisements
Advertisements
प्रश्न
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: 1.8 × 2.2
Advertisements
उत्तर
Here, we will use the identity \[(a - b)(a + b) = a^2 - b^2\]
Let us consider the following product: \[1 . 8 \times 2 . 2\]
\[\because \frac{1 . 8 + 2 . 2}{2} = \frac{4}{2} = 2\]; therefore, we will write the above product as:
\[1 . 8 \times 2 . 2\]
\[ = \left( 2 - 0 . 2 \right)\left( 2 + 0 . 2 \right)\]
\[ = \left( 2 \right)^2 - \left( 0 . 2 \right)^2 \]
\[ = 4 - 0 . 04\]
\[ = 3 . 96\]
Thus, the answer is 3.96.
APPEARS IN
संबंधित प्रश्न
Simplify the following using the identities: \[\frac{8 . 63 \times 8 . 63 - 1 . 37 \times 1 . 37}{0 . 726}\]
Find the following product: (y2 − 4) (y2 − 3)
Find the following product: \[\left( x + \frac{4}{3} \right)\left( x + \frac{3}{4} \right)\]
Find the following product: \[\left( z + \frac{3}{4} \right)\left( z + \frac{4}{3} \right)\]
Expand the following:
(−p + 2q + 3r)2
2p is the factor of 8pq
Simplify:
(3x + 2y)2 + (3x – 2y)2
Expand the following, using suitable identities.
`(4/5p + 5/3q)^2`
Using suitable identities, evaluate the following.
105 × 95
Perform the following division:
(ax3 – bx2 + cx) ÷ (– dx)
