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Solve the problem attached

Solve the problem attached-example-1

2 Answers

5 votes


\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}

By distributing the multiplication over the addition:


\leadsto A.


\small\longrightarrow \sf{3(5a+3)}


\small\longrightarrow \sf{3 \cdot 5a+3 \cdot 3}


\small\longrightarrow \sf{= \underline{15a+9}}


\leadsto B.


\small\longrightarrow \sf{2(7b-2)}


\small\longrightarrow \sf{2 \cdot 7b-2 \cdot 2}


\longrightarrow \sf{= \underline{14b-4}}


\leadsto C.


\small\longrightarrow \sf{5(2c+3)}


\small\longrightarrow \sf{=\underline{5 \cdot 2c+ 5 \cdot 3}}


\leadsto D.


\small\longrightarrow \sf{3(d + (5)/(3) ) \: and \: \: 3d + 5}


\small\longrightarrow \sf={\underline{3d+5}}
\large\sf{✓}


\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}


\large \bm{D. \: \: 3(d + (5)/(3) ) \: and \: \: 3d + 5}

User GlassFish
by
8.2k points
3 votes

Answer: D. 3(d +
(5)/(3)) and 3d + 5

Explanation:

We will distribute and simplify the expressions to find which pair is equivalent. In other words, which pair is equal.

✗ [A] 3(5a + 3) = 15a + 9 ≠ 15a + 6

✗ [B] 2(7b - 2) = 14b - 4 ≠ 14b + 4

✗ [C] 5(2c + 3) = 10c + 15 ≠ 7c + 8

✓ [D] 3(d +
(5)/(3)) = 3d + 5 = 3d + 5

3d + 5 = 3d + 5, which means option D is the answer to our question.

User Valodzka
by
7.5k points

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