1.1.3 Qulz: Algebraic ExpressionsQuestion 6 of 10Which expression is the simplest form of −(4x3+x2)+2(x3−3x2)?A. −6x3−2x2B. −2x3−5x2C. −2x3−7x2D. −6x3−6x2SUBMITPREVIOUS
Q. 1.1.3 Qulz: Algebraic ExpressionsQuestion 6 of 10Which expression is the simplest form of −(4x3+x2)+2(x3−3x2)?A. −6x3−2x2B. −2x3−5x2C. −2x3−7x2D. −6x3−6x2SUBMITPREVIOUS
Distribute negative sign: First, distribute the negative sign to the terms inside the first set of parentheses: −1×(4x3+x2)=−4x3−x2.
Distribute 2: Next, distribute the 2 to the terms inside the second set of parentheses: 2×(x3−3x2)=2x3−6x2.
Combine like terms: Now, combine like terms by adding the results from the first two steps: (−4x3−x2)+(2x3−6x2)=−4x3+2x3−x2−6x2.
Simplify expression: Simplify the expression by combining the x3 terms and the x2 terms: −4x3+2x3=−2x3 and −x2−6x2=−7x2.
Final simplified expression: Write the final simplified expression: −2x3−7x2.
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