High School

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Factorize fully:

\[ 4x^2 + 28x^3 \]

Answer :

Answer:

4x²×(1+7x)

Step-by-step explanation:

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Rewritten by : Barada

Answer:

[tex]4x^2+28x^3 : 4x^2 (7x + 1)[/tex]

Step-by-step explanation:

[tex]4x^2+28x^3[/tex]

Apply exponent rule: [tex]\:a^{b+c}=a^ba^c[/tex]

[tex]x^3=xx^2[/tex]

[tex]=28xx^2+4x^2[/tex]

Rewrite [tex]28[/tex] as [tex]4\cdot \:7[/tex]:

[tex]=4\cdot \:7xx^2+4x^2[/tex]

Factor out common term [tex]4x^2[/tex]:

[tex]=4x^2\left(7x+1\right)[/tex]

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