Add the following:$a-b+a b, b-c+b c, c-a+a c$
Given:
Given terms are $a-b+a b, b-c+b c, c-a+a c$.
To do:
We have to add the given terms.
Solution:
$(a-b+a b)+(b-c+b c)+(c-a+a c)=(a-a)+(-b+b)+(-c+c)+ab+bc+ac$
$=0+0+0+ab+bc+ca$
$=ab+bc+ca$
Related Articles
- The area of a triangle with vertices \( (a, b+c),(b, c+a) \) and \( (c, a+b) \) is(A) \( (a+b+c)^{2} \)(B) 0(C) \( a+b+c \)(D) \( a b c \)
- Factorize:$(a – b + c)^2 + (b – c + a)^2 + 2(a – b + c) (b – c + a)$
- Verify that $a ÷ (b+c) ≠ (a ÷ b) + (a ÷ c)$ for each of the following values of $a,\ b$ and $c$.(a) $a=12,\ b=- 4,\ c=2$(b) $a=(-10),\ b = 1,\ c = 1$
- Verify the following properties for the given values of a, b, c. $a=-3, b=1$ and $c=-4$.Property 1: $a\div (b+c) ≠ (a÷b) +c$Property 2: $a\times (b+c) =(a\times b)+(a\times c)$Property 3: $a\times (b-c)=(a\times b) -(a\times c)$
- Simplify:$(a + b + c)^2 + (a - b + c)^2 + (a + b - c)^2$
- Find the distance between the following pair of points:$(a + b, b + c)$ and $(a – b, c – b)$
- Write the following in the expanded form:\( (\frac{a}{b c}+\frac{b}{c a}+\frac{c}{a b})^{2} \)
- Prove that\( \frac{a+b+c}{a^{-1} b^{-1}+b^{-1} c^{-1}+c^{-1} a^{-1}}=a b c \)
- Write the following in the expanded form:\( (a b+b c+c a)^{2} \)
- Factorize b(a + c) + c(a + b) + b2 + c2
- Simplify:$(a + b + c)^2 + (a - b + c)^2$
- Simplify:$(a + b + c)^2 - (a - b + c)^2$
- Factorize:\( 6 a b-b^{2}+12 a c-2 b c \)
- Show that the following grammar is LR (1)\nS → A a |b A c |B c | b B a\nA → d\nB → d
- In \( \triangle A B C, \angle A \) is obtuse, \( P B \perp A C, \) and \( Q C \perp A B \). Prove that \( B C^{2}=\left(A C \times C P +A B \times B Q\right) \).
Kickstart Your Career
Get certified by completing the course
Get Started
Data Structure
Networking
RDBMS
Operating System
Java
MS Excel
iOS
HTML
CSS
Android
Python
C Programming
C++
C#
MongoDB
MySQL
Javascript
PHP
Physics
Chemistry
Biology
Mathematics
English
Economics
Psychology
Social Studies
Fashion Studies
Legal Studies