Which expression shows the first step in simplifying 2 x minus 3 times open paren x plus 2 y close paren minus 5 times open paren y minus 7 x close paren ?
Answer
A
2 x minus 8 times open paren x plus 2 y close paren plus open paren y minus 7 x close paren
B
2 x minus 3 minus 5 times open paren 3 y minus 6 x close paren
C
2 x minus 3 x minus 6 y minus 5 y plus 35 x
D
2 x plus 3 x plus 6 y plus 5 y minus 35 x
Explanation
Distribute −3 across (x + 2y) to get −3x − 6y. Distribute −5 across (y − 7x) to get −5y + 35x. The resulting expression is 2x − 3x − 6y − 5y + 35x, which is choice B.
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