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solong [7]
3 years ago
15

Express (x + 3)2 as a trinomial in standard form.

Mathematics
2 answers:
MariettaO [177]3 years ago
5 0

Answer:x^2+6x+9

Step-by-step explanation:

ale4655 [162]3 years ago
4 0

Answer:

x^2−6x+9

Step-by-step explanation:

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

ax^2 + bx + c

Rewrite (x - 3)^2 as (x -3) (x-3).

(x - 3) (x - 3)

expand (x - 3 ) (x - 3) using the FOIL method

Apply the Distributive property

x (x - 3) - 3 (x - 3)

again

x * x + x * -3 - 3 (x- 3)

and again

x * x + x * -3 - 3x - 3 * -3

then simplify and combine like terms

- Multiply x by x

x^2 + x * - 3 - 3x -3 * -3

- Move -3 to the left of x

x^2 - 3 * x - 3x - 3 * -3

Multiply -3 by -3

x^2 - 3x -  3x + 9

Subtract 3x by -3x

x^2  - 6x + 9

Hope that helps!

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