Asked by Chih-Hsiang Chang on Apr 29, 2024

verifed

Verified

Simplify −4x(x−7) +x2- 4 x ( x - 7 ) + x ^ { 2 }4x(x7) +x2 by eliminating the parentheses and combining like terms.

A) 5x2+28x5 x ^ { 2 } + 28 x5x2+28x
B) −3x2−7x- 3 x ^ { 2 } - 7 x3x27x
C) −3x2+28x- 3 x ^ { 2 } + 28 x3x2+28x
D) 5x2−7x5 x ^ { 2 } - 7 x5x27x
E) −3x2+28- 3 x ^ { 2 } + 283x2+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.
verifed

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^24x2+28x+x2 , which simplifies to −3x2+28x-3x^2 + 28x3x2+28x . This matches choice C.