Question

3

Select the correct answer from each drop-down menu.
Consider the expressions given below.
A. 213 – 12 – 61
B. 213 + 81 + 4
C. 374 + 12 + 1 - 7
D. 314 – 312 + 51 - 7
For each expression below, select the letter that corresponds to the equivalent expression from the given list.
(413 - 4 + 71) (223 - 1 - 8) is equivalent to expression
(-332 + 14 + 1) + (234 - 7 + 41) is equivalent to expression
(22 – 21)(2x + 3) is equivalent to expression
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Answer 1

B D A

Explanation:

Hope I Helped

Answer 2

B

D

A

Explanation:

Given:

A.
`2x^3-x^(2) -6x`

B.
`2x^3+8x+4`

C.
`3x^4+x^(2) +x-7`

D.
`3x^4-3x^(2) +5x-7`

Now, let us evaluate the given expressions one by one.

`(4x^3-4+ 7x)-(2x^3-x-8)\\\Rightarrow 4x^3-4+ 7x-2x^3+x+8\\\Rightarrow 2x^3+8x+ 4`

It is equation B.

So,
`(4x^3-4+ 7x)-(2x^3-x-8)` is equivalent to B.

`(-3x^2+x^4+x)+(2x^4-7+4x)\\\Rightarrow -3x^2+x^4+x+2x^4-7+4x\\\Rightarrow3x^4-3x^(2) +5x-7`

It is equation D.

So,
`(-3x^2+x^4+x)+(2x^4-7+4x)` is equivalent to D.

`(x^(2) -2x)(2x+3)\\\Rightarrow 2x^3-4x^(2) +3x^(2) -6x\\\Rightarrow 2x^3-x^(2) -6x`

It is equation A.

So,
`(x^(2) -2x)(2x+3)` is equivalent to A.

So, answer is:

B

D

A