Q. Find an expression which represents the sum of (−8x+4) and (−3x−4) in simplest terms.Answer:
Combine like terms: To find the sum of two algebraic expressions, we combine like terms, which are terms that have the same variable raised to the same power. In this case, we will combine the terms that contain x and the constant terms separately.(−8x+4)+(−3x−4)
Combine x terms: First, we combine the terms with x. We have −8x from the first expression and −3x from the second expression.−8x+(−3x)=−8x−3x
Add x coefficients: Now we perform the addition of the coefficients of x.−8x−3x=−11x
Combine constant terms: Next, we combine the constant terms. We have +4 from the first expression and −4 from the second expression.4+(−4)=4−4
Subtract constants: Now we perform the subtraction of the constants. 4−4=0
Final simplified sum: Since the constant terms cancel each other out, we are left with only the term containing x. The sum of the two expressions in simplest terms is −11x.
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