Write following cubes in expanded form (2 a-5 b)^{3}

English

Gujarati

Hindi

2. Polynomials

easy

Write the following cubes in expanded form

$(2 a-5 b)^{3}$

Option A

Option B

Option C

Option D

Solution

$=(2 a)^{3}-(5 b)^{3}-3(2 a)(5 b)(2 a-5 b)$

$=8 a^{3}-125 b^{3}-30 a b(2 a-5 b)$

$=8 a^{3}-125 b^{3}-60 a^{2} b+150 a b^{2}$

Standard 9

Mathematics

Share

Similar Questions

Check whether $p(x)$ is a multiple of $g(x)$ or not :

$p(x)=2 x^{3}-11 x^{2}-4 x+5, \quad g(x)=2 x+1$

easy

Find the quotient and the remainder when $2 x^{2}-7 x-15$ is divided by

$2 x+1$

medium

Factorise $: 49 x^{2}-121$

easy

By Remainder Theorem find the remainder, when $p(x)$ is divided by $g(x),$ where

$p(x)=x^{3}-2 x^{2}-4 x-1, \quad g(x)=x+1$

medium

Show that $p-1$ is a factor of $p^{10}-1$ and also of $p^{11}-1$

medium