Asked by Chih-Hsiang Chang on Apr 29, 2024
Verified
Simplify −4x(x−7) +x2- 4 x ( x - 7 ) + x ^ { 2 }−4x(x−7) +x2 by eliminating the parentheses and combining like terms.
A) 5x2+28x5 x ^ { 2 } + 28 x5x2+28x
B) −3x2−7x- 3 x ^ { 2 } - 7 x−3x2−7x
C) −3x2+28x- 3 x ^ { 2 } + 28 x−3x2+28x
D) 5x2−7x5 x ^ { 2 } - 7 x5x2−7x
E) −3x2+28- 3 x ^ { 2 } + 28−3x2+28
Combining Like Terms
The process of adding or subtracting algebraic terms that have the same variable components.
Parentheses
Symbols used in mathematics to group expressions and influence the order of operations.
- Manipulate and interpret algebraic expressions involving polynomials.
- Learn the rules for consolidating like terms and making algebraic expressions more concise.
Verified Answer
RW
Rocharn WilsonMay 02, 2024
Final Answer :
C
Explanation :
Distributing the −4x -4x −4x gives us −4x2+28x+x2-4x^2 + 28x + x^2−4x2+28x+x2 , which simplifies to −3x2+28x-3x^2 + 28x−3x2+28x . This matches choice C.
Learning Objectives
- Manipulate and interpret algebraic expressions involving polynomials.
- Learn the rules for consolidating like terms and making algebraic expressions more concise.