Download App

Polynomials — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsPolynomials2 Marks
Question
Evaluate the using suitable identity: (998)3
✓

Answer

(998)3
= (1000 - 2)3 = (1000)3 - (2)2 - 3(1000)(2)(1000 - 2)
(Using Identity (a – b)3 = a3 – b3 – 3ab (a – b))
= 1000000000 - 8 - 6000(1000 - 2)
= 1000000000 - 8 - 6000000 + 12000
= 994011992

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "2 Marks Questions" from Polynomials→Polynomials — all question types→Maths STD 9 question papers→Gujarat Board STD 9 question papers→Gujarat Board question paper generator→

Similar questions

Factorise:
$\frac{2}{3}\text{x}^2-\frac{17}{3}\text{x}-28$
→
In the following, use factor theorem to find whether polynomial g(x) is a factor of polynomial f(x) or, not:
f(x) = x5 + 3x4 - x3 - 3x2 + 5x + 15, g(x) = x + 3
→
Factorise:
$\frac{3}{5}\text{x}^2-\frac{19}{5}\text{x}+4$
→
Simplify:
$(256)^{-\Big(4^{-\frac{3}{2}}\Big)}$
→
Check the following are the solution of the equation 5x - 4y = 20.
(0, -5)
→
Give an example of a binomial of degree 8.
→
Factorize the following expressions:
27x3 - y3 - z3 - 9xyz
→
Simplify the following:
$\frac{\sqrt{24}}{8}+\frac{\sqrt{54}}{9}$
→
The following are the numbers of books issued in a school library during a week:
105, 216, 322, 167, 273, 405 and 346.
Find the average number of books issued per day.
→
The mean of six numbers is 23. If one of the numbers is excluded, the mean of the remaining numbers is 20. Find the excluded number.
→