Advertisements
Advertisements
प्रश्न
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: 197 × 203
Advertisements
उत्तर
Here, we will use the identity \[(a - b)(a + b) = a^2 - b^2\]
Let us consider the following product: \[197 \times 203\]
\[\because \frac{197 + 203}{2} = \frac{400}{2} = 200\]; therefore, we will write the above product as:
\[197 \times 203\]
\[ = \left( 200 - 3 \right)\left( 200 + 3 \right)\]
\[ = \left( 200 \right)^2 - \left( 3 \right)^2 \]
\[ = 40000 - 9\]
\[ = 39991\]
Thus, the answer is \[39991\].
APPEARS IN
संबंधित प्रश्न
Show that `(4/3 m - 3/4 n)^2 + 2mn = 16/9 m^2 + 9/16 n^2`
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: (467)2 − (33)2
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: 9.8 × 10.2
Simplify the following using the identities: 178 × 178 − 22 × 22
Simplify: (x – 2y + 3z) (x2 + 4y2 + 9z2 + 2xy + 6yz – 3xz)
By using identity evaluate the following:
73 – 103 + 33
Expand the following, using suitable identities.
`(4/5p + 5/3q)^2`
Expand the following, using suitable identities.
(2x + 9)(2x – 7)
Expand the following, using suitable identities.
`((2a)/3 + b/3)((2a)/3 - b/3)`
Carry out the following division:
51x3y2z ÷ 17xyz
