Problem 92
Question
Simplify each algebraic expression. $$4(5 y-3)-(6 y+3)$$
Step-by-Step Solution
Verified Answer
The simplified form of the expression is \(14y - 15\).
1Step 1: Expand The Parentheses
The first step according to the Order of Operations (BIDMAS/BODMAS/PEDMAS) is to expand the parentheses. To do this, distribute the numbers outside the parentheses to each term inside the parentheses. Therefore, \(4(5y - 3) - (6y + 3)\) simplifies to \(20y - 12 - 6y - 3\).
2Step 2: Combine Like Terms
Next, we combine like terms. Combining like terms refers to the process of adding or subtracting terms with the same variable to a particular power, in this case \(y\). Therefore, \(20y - 12 - 6y - 3\) simplifies further to \(14y - 15\).
Other exercises in this chapter
Problem 92
Explain how to add rational expressions having no common factors in their denominators. Use \(\frac{3}{x+5}+\frac{7}{x+2}\) in your explanation.
View solution Problem 92
In Exercises \(91-100,\) simplify using properties of exponents. $$\left(3 x^{\frac{2}{3}}\right)\left(4 x^{\frac{3}{4}}\right)$$
View solution Problem 93
Factor and simplify each algebraic expression. $$x^{\frac{3}{2}}-x^{\frac{1}{2}}$$
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Perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two d
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