For example:
Simplify: \(x+2x+3x\)
Here, we know that \(x, \;2x\) and \(3x\) are all like terms.
We can simplify the expression by taking the common variable out.
\(x+2x+3x\)
\( = x(1+2+3)\)
\( = x(6)\)
\( = 6x\)
For example:
Simplify: \(20z-16z\)
Here, we know that \(20z\) and \(-16z\) are like terms.
We can simplify the expression by taking the common variable out i.e., z.
\(20z-16z = z(20-16)\)
\(= z (4)\)
\(= 4z\)
For example:
Simplify: \(4×a×a×a×3 \)
Here, we will multiply the numbers and we will count the number of times the variable is multiplied by itself and write it as the power of the variable.
\(4×a×a×a×3 \)
\(= 12×a×a×a\)
\( = 12 a^3\)
For example:
Simplify: \(\dfrac{4×a×a×a}{2×a×a}\)
In expressions involving division, similar variables in the numerator and the denominator get canceled by each other.
There are three a's in the numerator and two a's in the denominator.
Thus, the two a's in the numerator are canceled out by the two a's in the denominator.
\( = \dfrac{4×a×\not a×\not a}{2×\not a×\not a}\)
\( = \dfrac{4}{2}a\)
\( = 2a\) \(\left[\because \dfrac{4}{2} = 2\right]\)
A \(8e^5\)
B \(4e^2\)
C \(2e^3\)
D \(4e^5\)
