What is expand (1250-x)+(-(5100)/((0.02x+1)^2)) ?

The solution to expand (1250-x)+(-(5100)/((0.02x+1)^2)) is 1250-x-(5100)/(0.0004x^2+0.04x+1)

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expand (1250-x)+(-(5100)/((0.02x+1)^2))

expand

(1250 - x) + (- \frac{5100}{( 0.02 x + 1 ) ^{2}})

1250 - x - \frac{5100}{0.0004 x ^{2} + 0.04 x + 1}

Solution steps

(1250 - x) + (- \frac{5100}{( 0.02 x + 1 ) ^{2}})

Remove parentheses:

(a) = a

= 1250 - x - \frac{5100}{( 0.02 x + 1 ) ^{2}}

(0.02 x + 1)^{2} = 0.0004 x^{2} + 0.04 x + 1

= 1250 - x - \frac{5100}{0.0004 x ^{2} + 0.04 x + 1}

\frac{- x ^{2} + 12 x - 35}{( x ^{2} - 6 x + 1 ) ^{2}}

(2 x - 4) (2 x^{2} - 8 x + 35)^{4} d x

\frac{1250 x + 750}{( 25 x ^{2} - 30 x + 9 ) ^{2}}

\frac{x ^{2} - 10 x - 41}{( x + 1 ) ( x + 4 ) ( x - 1 )}

π (16 x^{2} + 24 x + 9)

What is expand (1250-x)+(-(5100)/((0.02x+1)^2)) ?
The solution to expand (1250-x)+(-(5100)/((0.02x+1)^2)) is 1250-x-(5100)/(0.0004x^2+0.04x+1)