What is factor 100+60e+9e^2 ?

The solution to factor 100+60e+9e^2 is (3e+10)^2

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factor 100+60e+9e^2

factor

100 + 60 e + 9 e^{2}

(3 e + 10)^{2}

Solution steps

100 + 60 e + 9 e^{2}

Write in the standard form

a x^{2} + b x + c

= 9 e^{2} + 60 e + 100

Rewrite

9 e^{2} + 60 e + 100

(3 e)^{2} + 2 \cdot 3 e \cdot 10 + 1 0^{2}

= (3 e)^{2} + 2 \cdot 3 e \cdot 10 + 1 0^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

a = 3 e, b = 10

= (3 e + 10)^{2}

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