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Graph x^2+25y^2-25=0 | Mathway

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\frac4\left(x-5\proper)\left(x+5\right)+\fracx+2\left(x-5\proper)\left(x+3\right)

Factor x^2-25. Factor x^2-2x-15.

\frac4\left(x+3\right)\left(x-5\right)\left(x+3\proper)\left(x+5\proper)+\frac\left(x+2\right)\left(x+5\right)\left(x-5\right)\left(x+3\right)\left(x+5\right)

To upload or subtract expressions, expand them to make their denominators the similar. Least common a couple of of \left(x-5\right)\left(x+5\proper) and \left(x-5\right)\left(x+3\right) is \left(x-5\right)\left(x+3\proper)\left(x+5\right). Multiply \frac4\left(x-5\right)\left(x+5\proper) occasions \fracx+3x+3. Multiply \fracx+2\left(x-5\proper)\left(x+3\right) occasions \fracx+5x+5.

\frac4\left(x+3\right)+\left(x+2\proper)\left(x+5\proper)\left(x-5\right)\left(x+3\right)\left(x+5\right)

Since \frac4\left(x+3\right)\left(x-5\proper)\left(x+3\proper)\left(x+5\right) and \frac\left(x+2\right)\left(x+5\right)\left(x-5\right)\left(x+3\proper)\left(x+5\proper) have the similar denominator, add them by way of adding their numerators.

\frac4x+12+x^2+5x+2x+10\left(x-5\right)\left(x+3\proper)\left(x+5\proper)

Do the multiplications in 4\left(x+3\proper)+\left(x+2\right)\left(x+5\right).

\frac11x+22+x^2\left(x-5\proper)\left(x+3\proper)\left(x+5\proper)

Combine like terms in 4x+12+x^2+5x+2x+10.

\frac11x+22+x^2x^3+3x^2-25x-75

Expand \left(x-5\proper)\left(x+3\proper)\left(x+5\proper).