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Popular >

factor x^a+x^{a+b}

Solution

factor

x^{a} + x^{a + b}

Solution

x^{a} (1 + x^{b})

Solution steps

x^{a} + x^{a + b}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

x^{a + b} = x^{a} x^{b}

= x^{a} + x^{a} x^{b}

Factor out common term

x^{a} : x^{a} (1 + x^{b})

= x^{a} (1 + x^{b})

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Frequently Asked Questions (FAQ)

What is factor x^a+x^{a+b} ?
The solution to factor x^a+x^{a+b} is x^a(1+x^b)