Asked by Daniela Lopez on Apr 28, 2024

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Simplify 2(r−7s) −2(4r−3s) 2 ( r - 7 s ) - 2 ( 4 r - 3 s ) 2(r7s) 2(4r3s) by eliminating the parentheses and combining like terms.

A) 10r−8s10 r - 8 s10r8s
B) −6r−20s- 6 r - 20 s6r20s
C) −6r−8s- 6 r - 8 s6r8s
D) 10r−20s10 r - 20 s10r20s
E) −6r−10s- 6 r - 10 s6r10s

Like Terms

Terms that have the same variables raised to the same power, which can be combined by adding or subtracting the coefficients.

Parentheses

Parentheses are symbols used in mathematics to group terms or to indicate the order of operations.

  • Master the basic principles of amalgamating like terms and refining the simplification of algebraic expressions.
  • Employ the distributive law to make expressions more straightforward.
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Verified Answer

ZK
Zybrea KnightMay 05, 2024
Final Answer :
C
Explanation :
Distributing the coefficients of the parentheses, we get:
2r−14s−8r+6s2r-14s-8r+6s2r14s8r+6s
Combining like terms, we get:
−6r−8s-6r-8s6r8s
Therefore, the correct answer is (C).