First, think of x - 3 as x + (-3).

Next, multiply 7 by x and -3, and add the products.

Then, simplify.

7(x) + 7(-3)	=	7x + (-21)
	=	7x - 21

So, 7x - 21 is equivalent to 7(x - 3).

Notice that 9 and 54 both have 9 as a factor. This means that the distributive property can be used to write an equivalent expression that is a product of 9 and a sum. This is called factoring.

First, write each term in the expression as a multiple of 9.

Then, write the expression as a product of 9 and the sum of x and 6.

So, 9(x + 6) is equivalent to 9x + 54.

Each term in the expression has the variable t, so they are like terms.
One way to combine like terms is to use the distributive property.
Start by factoring t out of each term.

t + t + t + t	=	t(1) + t(1) + t(1) + t(1)
	=	t(1 + 1 + 1 + 1)

Then, simplify.

t(1 + 1 + 1 + 1)	=	t(4)
	=	4t

Another way to combine like terms is to add or subtract the coefficients.

Each t can be written with a coefficient of 1.

Add the coefficients.

1t + 1t + 1t + 1t	=	(1 + 1 + 1 + 1)t
	=	4t

5 to a power of 4 means to multiply 5 by itself 4 times.

4 to a power of 5 means to multiply 4 by itself 5 times.

40 + (66 ÷ 6) × 10	=	40 + 11 × 10
	=	40 + 110
	=	150

15 - [(5 + 5) × 3] ÷ 6	=	15 - [10 × 3] ÷ 6
	=	15 - 30 ÷ 6
	=	15 - 5
	=	10

Find the prime factorization by repeatedly dividing by prime numbers.

2,460	=	2 × 1,230
	=	2 × 2 × 615
	=	2 × 2 × 3 × 205
	=	2 × 2 × 3 × 5 × 41

Use exponents to represent repeated multiplication.