1/5(10x+25y)+1/4(8x-12y)

asked by guest
on Mar 17, 2025 at 5:37 am



You asked:

Evaluate the expression: 15(10x+25y)+14(8x−12y)\frac{1}{5 \left(10 x + 25 y\right)} + \frac{1}{4 \left(8 x - 12 y\right)}

MathBot Answer:

Evaluated



15(10x+25y)+14(8x−12y)=150x+125y+132x−48y\displaystyle \frac{1}{5 \left(10 x + 25 y\right)} + \frac{1}{4 \left(8 x - 12 y\right)} = \frac{1}{50 x + 125 y} + \frac{1}{32 x - 48 y}

Expanded

15(10x+25y)+14(8x−12y)=150x+125y+132x−48y\frac{1}{5 \left(10 x + 25 y\right)} + \frac{1}{4 \left(8 x - 12 y\right)} = \frac{1}{50 x + 125 y} + \frac{1}{32 x - 48 y}

Factored

15(10x+25y)+14(8x−12y)=82x+77y400⋅(2x−3y)(2x+5y)\frac{1}{5 \left(10 x + 25 y\right)} + \frac{1}{4 \left(8 x - 12 y\right)} = \frac{82 x + 77 y}{400 \cdot \left(2 x - 3 y\right) \left(2 x + 5 y\right)}

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