Asked by Daniela Lopez on Apr 28, 2024
Verified
Simplify 2(r−7s) −2(4r−3s) 2 ( r - 7 s ) - 2 ( 4 r - 3 s ) 2(r−7s) −2(4r−3s) by eliminating the parentheses and combining like terms.
A) 10r−8s10 r - 8 s10r−8s
B) −6r−20s- 6 r - 20 s−6r−20s
C) −6r−8s- 6 r - 8 s−6r−8s
D) 10r−20s10 r - 20 s10r−20s
E) −6r−10s- 6 r - 10 s−6r−10s
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.
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+6s2r−14s−8r+6s
Combining like terms, we get:
−6r−8s-6r-8s−6r−8s
Therefore, the correct answer is (C).
2r−14s−8r+6s2r-14s-8r+6s2r−14s−8r+6s
Combining like terms, we get:
−6r−8s-6r-8s−6r−8s
Therefore, the correct answer is (C).
Learning Objectives
- 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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