In Algebra, we are learning how to add, subtract, and multiply polynomials.
Adding:
a + 2 + 3a - 9 Step 1: identify like terms
a + 3a + 2 - 9 Step 2: group like terms
4a - 7 Step 3: combine like terms
Subtracting:
(8x^2 - 5) - (2x^2 + 4) Step 1: disribute the negative sign (-)
8x^2 - 5 - 2x^2 - 4 Step 2: identify like terms
8x^2 - 2x^2 - 5 - 4 Step 3: group like terms
6x^2 - 9 Step 4: combine like terms
Multiplying:
Monomials:
2a(a - 5)
2a(a) - 2a(5)
2a^2 - 10a
FOIL Method:
(x + 3)(x - 5) Step 1: apply FOIL Method
First Outer Inner Last
x^2 -5x +3x -15
x^2 - 5x + 3x - 15 Step 2: Combine like terms
x^2 - 2x - 15
Adding:
a + 2 + 3a - 9 Step 1: identify like terms
a + 3a + 2 - 9 Step 2: group like terms
4a - 7 Step 3: combine like terms
Subtracting:
(8x^2 - 5) - (2x^2 + 4) Step 1: disribute the negative sign (-)
8x^2 - 5 - 2x^2 - 4 Step 2: identify like terms
8x^2 - 2x^2 - 5 - 4 Step 3: group like terms
6x^2 - 9 Step 4: combine like terms
Multiplying:
Monomials:
2a(a - 5)
2a(a) - 2a(5)
2a^2 - 10a
FOIL Method:
(x + 3)(x - 5) Step 1: apply FOIL Method
First Outer Inner Last
x^2 -5x +3x -15
x^2 - 5x + 3x - 15 Step 2: Combine like terms
x^2 - 2x - 15