What is 3x^a(4x^{2a+1}) ?

The solution to 3x^a(4x^{2a+1}) is 12x^{3a+1}

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simplify 3x^a(4x^{2a+1})

simplify

3 x^{a} (4 x^{2 a + 1})

12 x^{3 a + 1}

Solution steps

3 x^{a} (4 x^{2 a + 1})

Apply exponent rule:

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

x^{a} x^{2 a + 1} = x^{a + 2 a + 1}

= 3 \cdot 4 x^{a + 2 a + 1}

Add similar elements:

a + 2 a = 3 a

= 3 \cdot 4 x^{3 a + 1}

Multiply the numbers:

3 \cdot 4 = 12

= 12 x^{3 a + 1}

(2.057 \cdot 1 0^{- 11}) (0.14)

\frac{( - 2 + x ^{2} + x ) ^{2}}{x ^{2}}

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