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sattari [20]
3 years ago
13

Please solve (a^3 - 2a^2) - (3a^2 - 4a^3).

Mathematics
1 answer:
Wittaler [7]3 years ago
8 0

Hi there! Hopefully this helps!

-------------------------------------------------------------------------------------------------------

<h2>Answer: 5a^{3} - 5a^{2}. </h2><h2 /><h2>~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~</h2><h2 />

|(a^{3} - 2a^{2}) - (3a^{2} - 4a^{3} )

|

| To find the opposite of 3a^{2} -4a^{3}, find the <em>opposite</em> of each term.

\/

a^{3} - 2a^{2} - 3a^{2} + 4a^{3}

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

|

|Combine -2a^{2} and -3a^{2} to get -5a^{2}.

\/

a^{3} - 5a^{2} + 4a^{3}

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

|

|Combine a^{3} and 4a^{3} to get 5a^{3}.

\/

<h2>Answer: 5a^{3} - 5a^{2}</h2>
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Please can someone help me with this maths question ‍♀️:<br> Solve 5x+2=20
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Answer:

x = 18/5

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

5x + 2 = 20

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Subtract 2 on both sides:                    5x = 18
  2. Divide 5 on both sides:                        x = 18/5

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    5(18/5) + 2 = 20
  2. Multiply:                               18 + 2 = 20
  3. Add:                                     20 = 20

Here we see that 20 does indeed equal 20.

∴ x = 18/5 is a solution to the equation.

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