Advertisements
Advertisements
प्रश्न
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: 197 × 203
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
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: (467)2 − (33)2
Expand the following:
(2x + 3y + 4z)2
Using algebraic identity, find the coefficients of x2, x and constant term without actual expansion
(x + 5)(x + 6)(x + 7)
Evaluate the following by using identities:
10013
Simplify:
(b2 – 49)(b + 7) + 343
Expand the following, using suitable identities.
(7x + 5)2
Using suitable identities, evaluate the following.
(995)2
Using suitable identities, evaluate the following.
105 × 95
Carry out the following division:
–121p3q3r3 ÷ (–11xy2z3)
Perform the following division:
(– qrxy + pryz – rxyz) ÷ (– xyz)
