Simplify the expression 4+\frac{2}{u}-\frac{3u}{u+5}

sjeikdom0

sjeikdom0

Answered question

2021-10-10

Simplify the expression
4+2u3uu+5

Answer & Explanation

Leonard Stokes

Leonard Stokes

Skilled2021-10-11Added 98 answers

Step 1
4+2u3uu+5
On converting the element to fraction,
4+2u3uu+5=41+2u3uu+5
On adjusting the fractions based on the LCM
4+2u3uu+5=4u(u+5)u(u+5)+2(u+5)u(u+5)3u2u(u+5)
Step 2
Here the denominators are equal on combining the fractions
4+2u3uu+5=4u(u+5)+2(u+5)3u2u(u+5)
On expanding the expression
4+2u3uu+5=u2+22u+10u(u+5)

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