Let us simplify the expression, we get (198)^3=(200 2)^3 (200 2)^3=(200)^3 [3× (200)^2× 2]+[3× (200)× (2)^2] (2)^3 By using the formula, (a b)^3=a^3 3a^2b+3ab^2 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VIII

Mathematics

Expansion of (a+b+c)^2

Expand 1983

Question

Expand $(198)^{3}$

Open in App

Solution

Let us simplify the expression, we get
$(198)^{3} = (200 - 2)^{3}$
$(200 - 2)^{3} = (200)^{3} - [3 \times (200)^{2} \times 2] + [3 \times (200) \times (2)^{2}] - (2)^{3}$
By using the formula,
$(a - b)^{3} = a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3}$
Here, $a = 200, b = - 2$
Now, substitude the value we get
$= 8000000 - 240000 + 2400 - 8$
$= 7762392$
$∴ (198)^{3} = (200 - 2)^{3} = 7762392$

Suggest Corrections

Similar questions

Q. The unit digit of

17^{1983} + 11^{1983} - 7^{1983}

Q. Simplify

(198)^{3}

The current i in the circuit is

[IIT-JEE 1983]

Electrolysis involves oxidation and reduction respectively at

[CPMT 1973; AMU 1983; NCERT 1983, 84; MH CET 2001]

Q. If n = 1983 !, compute the sum

\frac{1}{l o g_{2} n} + \frac{1}{l o g_{3} n} + \frac{1}{l o g_{4} n} + \dots \frac{1}{l o g_{1983} n} .

Join BYJU'S Learning Program

Expand (198)3

Let us simplify the expression, we get (198)3=(200−2)3 (200−2)3=(200)3−[3×(200)2×2]+[3×(200)×(2)2]−(2)3 By using the formula, (a−b)3=a3−3a2b+3ab2−b3 Here, a=200,b=−2 Now, substitude the value we get =8000000−240000+2400−8 =7762392 ∴(198)3=(200−2)3=7762392

Expand $(198)^{3}$