Multiply and Divide Rational Expressions
y2- 16 / y+3÷. y - 4 /y2- 9
= y2- 16 / y+3x.y2- 9/ y - 4
= (y+4)(y-4)(y+3)(y-3) / (y+3)(y-4)
=( y+4)(y-X)
XX+12/2y -10÷. y2– X/ y2–y – 20
=XX+12/XX -XXx. yX–y – 20 / yX– 9
= (XX+XX)(. yX–y – XX) / (y2– 9)(2y -10)
= X(y+3)(y-X)(y+4) / (y+3)(y-3)2(y-X)
= X(y+4) / (y-X)
=XX+X / y-X
2mX-XX-XX/mX-10m+24÷ XX2-X/ mX-m+18
= (m-X)(XX+X)/(m-4)(m-6)÷ (2m+3)(2m-X)/ mX-m+18
= (m-X)(2m+3)/(m-4)(m-6) x (m2-m+XX) /(XX+3)(2m-3)
=(m-4)(2m+X) (mX-m+XX) / (m-4)(m-6)(XX+X)(2m-3)
=(mX-m+18) / (m-X)( XX-3)
xX -X / X xX – x – 10 . XX2 - 25 / x2 + 4x – 21
= (x2 -X)( XXX – 25) / (xX + XX – 21)(X xX – x – XX)
= (x+3)(x-3)(XX+X)(2x-X) / (x-X)(x+7)(XX-X)(x+X)
=(x+3)(XX+5) / (x+7)(x+X)
x2 +XX+12 / x – X . 2x - XX / x+3
= (xX +7x+12 )(2x – 10) / (x+X)( x – 5)
= (x+X)(x+X)X(x-X) / (x+3)( x – X)
= 2(x+4)
=XX+X
4x2 -X / x2 – XX +XX÷ 2x2 -5x – 12 / xX – 10x + XX
= 4xX -9 / x2 – XX +18x x2 – 10x + 24 / XX2 -5x – 12
= (4xX -9)( x2 – 10x + 24) / (xX – XX +XX)( 2x2 -5x – 12)
= (XX+3)(XX-3)(x-X)(x-X) / (x-X)(x-6)(XX+X)(x-X)
=(XX-3) / (x-X)
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