No.106 Polynomial Addition and Subtraction in Columns
POINT
When subtracting polynomials in columns, rewrite the subtraction as addition and change the signs of every term in the lower expression.
Calculate the following using column form.
Example
①
\(2x^2\)+\(3x\)-\(1\)
+\(x^2\)-\(2x\)+\(5\)
②
\(4x\)-\(3y\)+\(1\)
-\(5x\)-\(3y\)+\(5\)
① \(3x^2+x+4\)
② \(-x-4\)
② \(-x-4\)
Try it yourself.
Calculate the following.
PRACTICE 01
\(3x^2\)+\(2x\)-\(4\)
+\(2x^2\)-\(x\)+\(1\)
\(5x^2+x-3\)
PRACTICE 02
\(5a\)-\(2b\)+\(3\)
-\(2a\)+\(b\)-\(4\)
\(3a-3b+7\)
PRACTICE 03
\(4x^2\)-\(x\)+\(2\)
+\(x^2\)+\(3x\)-\(5\)
\(5x^2+2x-3\)
PRACTICE 04
\(7a\)+\(2b\)-\(1\)
-\(3a\)-\(4b\)+\(2\)
\(4a+6b-3\)
PRACTICE 05
\(2m^2\)+\(5m\)-\(3\)
+\(3m^2\)-\(2m\)+\(4\)
\(5m^2+3m+1\)
PRACTICE 06
\(8x\)-\(5y\)+\(6\)
-\(3x\)+\(y\)-\(2\)
\(5x-6y+8\)