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What is x^2+10x+25 ——————- x^2-2x-35 in simplest form? State any restrictions on the variable. The simplified form is _______.

What Is X210x25 X22x35 In Simplest Form State Any Restrictions On The Variable The Simplified Form Is class=

Sagot :

We are to simplify:

x^2+10x+25

x^2-2x-35

Lets factor x² + 10x + 25: (x + 5)²

= (x + 5)²

x² -2x-35

Let's factor x² - 2x - 35: (x + 5)(x - 7)

= (x + 5)²

(x + 5)(x - 7)

= Apply exponent rule: a^b+c = a^b . a^c

(x + 5)² = (x + 5)(x + 5)

= (x + 5)(x + 5)

(x + 5)(x - 7)

cancel out common factor: x + 5

= x + 5

x - 7

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