Support the Monkey! Tell All your Friends and Teachers
 Home MonkeyNotes Printable Notes Digital Library Study Guides Study Smart Parents Tips College Planning Test Prep Fun Zone Help / FAQ How to Cite New Title Request

Example    Subtract

Example From 3 x2 - y2+ z2 take away the sum of 5x2 - 7 y2 + 3 z2 , x2 + 5 y2 - z2 , - 4 x2 + y2 - z2

Example What must be added to x2 - x + 1 to obtain x3 + 1 ?

Solution: From the wording of the problem we understand that the sum of two expressions here is x3 + 1 of which x2 - x + 1 is One. The other can, therefore, be obtained by taking from x3 + 1 the expression x2 - x + 1 .

Thus we have :

Example
What must be subtracted from a3 + 2a2 + a - 2 to get a3 + a + 1 ?

Solution:

Example A person possesses \$ 7 ab + 5 bc + 4 ac. He spent at different times \$ab + bc , \$ ˝ ac - ˝ bc , \$ ab + 2 bc - 3/2 ac and \$ 3ab - ˝ bc + 2 ac. How many dollars does he possess now ?

Solution: In total, he spent

( ab + bc ) + ( ˝ ac - ˝ bc ) + ( ab + 2 bc - 3/2 ac ) + ( 3 ab - ˝ bc + 2 ac )

= ( ab + ab + 3 ab ) + ( bc + 2 bc - bc ) + ( ˝ ac - 3/2 ac + 2 ac )

= 5 ab + 2 bc + ac dollars

The person now possesses

= ( 7 ab + 5 bc + 4 ac ) - ( 5 ab + 2 bc + ac )

= 2 ab + 3 bc + 3 ac dollars.

Index

3.1 - Introduction
3.2 - Monomial, Polynomials
3.3 - H.C.F and L.C.M

Chapter 4