Why don't you give it a try. 1) eliminate the 1st set of parentheses by multiply 3 with both the 5x and the 6. 2) eliminate the 2nd set of parentheses by multiplying 4 with both the 7x and the 2. 3) you will now have 4 terms. combine the like terms. your answer should have 2 terms. Distributive property: combining like terms and the distributive property go hand in hand. the distributive property rule states the following: there are no like terms to combine in the example above, but let’s see what it would like to use the distributive property and combine like terms at the same time with the following examples:.
Example 4. use the distributive property to combine like terms (if possible) in each of the following expressions: (a) −5 x2 − 9 x2, (b) −5 ab 7 ab, (c) 4 y3 − 7 y2, and (d) 3 xy2 − 7 xy2. solution. if the terms are “like terms,” you can use the distributive property to “factor out” the common variable part. Section 2.4 combine like terms and distributive property. a1.1.1 identify and use the properties of operations on real numbers, including commutative, associative, distributive, and identity and inverse elements for addition and multiplication; a1.1.6 simplify numerical expressions, including those involving radicals and absolute values;. This algebra video tutorial explains how to combine like terms using the distributive property. it contains plenty of examples and practice problems.access. I confirmed this by substituting each value in the equation to see if the 2 sides are equal. in both cases, the 2 sides are unequal. here's correct solution: 1) combine like terms on right side: 3x 12 = 5x 2. 2) subtract 3x from both sides: 12 = 2x 2. 3) subtract 2 from both sides: 14 = 2x. 4) divide both sides by 2: 7 = x. checking solution:.
This algebra video tutorial explains how to combine like terms using the distributive property. it contains plenty of examples and practice problems.access. I confirmed this by substituting each value in the equation to see if the 2 sides are equal. in both cases, the 2 sides are unequal. here's correct solution: 1) combine like terms on right side: 3x 12 = 5x 2. 2) subtract 3x from both sides: 12 = 2x 2. 3) subtract 2 from both sides: 14 = 2x. 4) divide both sides by 2: 7 = x. checking solution:. Matching signs = positive. negative × negative = positive. positive × positive = positive. ★combine like terms. positives and negatives are addition and subtraction. like terms match in both variable and exponent. so…. to combine like terms means merge matching terms, keeping the dominant ± sign…. ★an absolute value. Combining like terms is a fundamental skill in algebra that simplifies expressions and makes solving equations more manageable. in this article, we will delve into the intricacies of identifying and combining like terms to create more concise algebraic expressions.
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