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3 years ago

How to simply 4 (2x)^3

1 answer:

3 0

Remember the order of operations. The first step in this problem will be to solve the exponent.

Take (2x)^3. Remember that since there are parentheses around 2x, that means you have to cube 2 and x.

(2x)^3 = 2^3 * x^3 = 8x^3

Now multiply that answer by 4 to finish simplifying.

8x^3 * 4 = 32 x^3

Your answer should be: 32x^3

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7(2x-5)=21 What is x?

Over [174]

Answer:

x = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

7(2x - 5) = 21

Step 2: Solve for x

Distribute 7: 2x - 5 = 3
Isolate x term: 2x = 8
Isolate x: x = 4

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x: 7(2(4) - 5) = 21
Multiply: 7(8 - 5) = 21
Subtract: 7(3) = 21
Multiply: 21 = 21

Here we see that 21 does indeed equal 21.

∴ x = 4 is the solution to the equation.

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