Question

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Answer 1

a² - 7a + 10

Explanation:

Substitute all x variables for (2 - a) and evaluate.

`(2-a)^2+3(2-a)\\\\(2-a)(2-a)+3(2-a)\\\\4-2a-2a+a^2+6-3a\\\\a^2-7a+10`

Answer 2

`option \: (b)`

Step-by-step explanation:-

`f(x) = {x}^(2) + 3x`

`put \: x = (2 - a)`

`f(x) = {(2 - a)}^(2) + 3(2 - a)`

Apply (a-b)² formula for (2-a)².

`{(a - b)}^(2) = {a}^(2) + {b}^(2) - 2ab`

`f(x) = {2}^(2) + {a}^(2) - 2(2a) + 3(2 - a)`

`f(x) = 4 + {a}^(2) - 4a + 6 - 3a`

`f(x) = 4 + {a}^(2) - 7a + 6`

`f(x) = {a}^(2) - 7a + 6 + 4`

`f(x) = {a}^(2) - 7a + 10.`

Hence, option (b) is correct.