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We begin by opening the parentheses using the extended distributive property to create a long addition exercise:
We then multiply the first term of the left parenthesis by the first term of the right parenthesis.
We multiply the first term of the left parenthesis by the second term of the right parenthesis.
Now we multiply the second term of the left parenthesis by the first term of the left parenthesis.
Finally, we multiply the second term of the left parenthesis by the second term of the right parenthesis.
In the following way:
We solve each of the exercises within parentheses:
We solve the exercise from left to right:
585
\( 140-70= \)
Both methods work! You can either solve and first, then multiply , or use the distributive property as shown in the solution.
When you have , each term in the first parentheses must multiply each term in the second parentheses. That gives you four products: ac + ad + bc + bd.
Yes! You can simplify first: and , then just multiply . This is often quicker than using the distributive property.
Use PEMDAS: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). Parentheses always come first!
Double-check your arithmetic! Make sure you solved both parentheses correctly: and , then .
While calculators help, it's important to understand the steps! Practice doing these by hand first, then use a calculator to verify your answer.
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