Mathematics: Which of the following expressions is equal to x^2+25

Which of the following expressions is equal to x^2+25

Ответ:

jacksontwyford

10.03.2022

$\bf \textit{recall that }i^2=-1 \\\\[-0.35em] ~\dotfill\\\\ x^2+25\implies x^2+5^2\implies x^2-(-5^2)\implies x^2-(-1\cdot 5^2)\implies x^2-(i^2\cdot 5^2) \\\\\\ \stackrel{\textit{difference of squares}}{x^2-(5i)^2}\implies (x-5i)(x+5i)$

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Ответ:

acaciafiedler2003

10.03.2022

Mathematics

The correct option is A.

Step-by-step explanation:

The given expression is

x^2+25

x^2+5^2

x^2-(-5^2)

We know that i^2=-1 .

Using this value the given expression can be written as

x^2-(i^25^2)

x^2-(5i)^2) $[\because a^mb^m=(ab)^m]$

(x-5i)(x+5i) $[\because a^2-b^2=(a-b)(a+b)]$

The given expression is equal to the expression (x-5i)(x+5i).

Therefore the correct option is A.

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Ответ:

krystalhurst97

24.09.2022

Mathematics

Explanation:

Bored

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Which of the following expressions is equal to x^2+25

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