Question

Solve the problem attached

Answer 1

`\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}`

Answer 2

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.