(x-5)^(2) Which of the following is equivalent to the given expression? Choose 1 answer: (A) 2x^(2)+25 (B) 2x^(2)-10 (C) x^(2)+25 (D) x^(2)-10 x+25

Expand expression using formula: Expand the expression (x-5)² using the formula (a-b)² = a² - 2ab + b². (x-5)² = x² - 2(x)(5) + 5²Calculate values of terms: Calculate the values of the terms in the expanded expression. x² - 2(x)(5) + 5² = x² - 10x + 25Compare with given choices: Compare the expanded expression with the given choices. The expanded expression is x² - 10x + 25.Identify correct choice: Identify the correct choice that matches the expanded expression. The correct choice is (D) x² - 10x + 25.

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(x-5)^(2)
Which of the following is equivalent to the given expression?
Choose 1 answer:
(A)
2x^(2)+25
(B)
2x^(2)-10
(C)
x^(2)+25
(D)
x^(2)-10 x+25

$(x-5)^{2}$ $\newline$ Which of the following is equivalent to the given expression? $\newline$ Choose $1$ answer: $\newline$ (A) $2 x^{2}+25$ $\newline$ (B) $2 x^{2}-10$ $\newline$ (C) $x^{2}+25$ $\newline$ (D) $x^{2}-10 x+25$

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Math Problems

Algebra 1

Identify equivalent linear expressions

Full solution

(x-5)^{2}

\newline

Which of the following is equivalent to the given expression?

\newline

Choose

1

answer:

\newline

(A)

2 x^{2}+25

\newline

(B)

2 x^{2}-10

\newline

(C)

x^{2}+25

\newline

(D)

x^{2}-10 x+25

Expand expression using formula: Expand the expression $(x-5)^2$ using the formula $(a-b)^2 = a^2 - 2ab + b^2$ . $\newline$ $(x-5)^2 = x^2 - 2(x)(5) + 5^2$
Calculate values of terms: Calculate the values of the terms in the expanded expression. $x^2 - 2(x)(5) + 5^2 = x^2 - 10x + 25$
Compare with given choices: Compare the expanded expression with the given choices. $\newline$ The expanded expression is $x^2 - 10x + 25$ .
Identify correct choice: Identify the correct choice that matches the expanded expression. $\newline$ The correct choice is (D) $x^2 - 10x + 25$ .