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10 questions
Subtract x−53x+4−3x−53x+4\frac{x-5}{3x+4}-\frac{3x-5}{3x+4}3x+4x−5−3x+43x−5
−2x−103x+4; x≠−43\frac{-2x-10}{3x+4};\ x\ne-\frac{4}{3}3x+4−2x−10; x=−34
−2x3c+4; x≠−43\frac{-2x}{3c+4};\ x\ne-\frac{4}{3}3c+4−2x; x=−34
−2x; x≠0-2x;\ x\ne0−2x; x=0
−2x−10; x≠0-2x-10;\ x\ne0−2x−10; x=0
Add 3x−2x+2+2x4x−1\frac{3x-2}{x+2}+\frac{2x}{4x-1}x+23x−2+4x−12x
14x2−7x+2(x+2)(4x−1); x≠−2, 14\frac{14x^2-7x+2}{\left(x+2\right)\left(4x-1\right)};\ x\ne-2,\ \frac{1}{4}(x+2)(4x−1)14x2−7x+2; x=−2, 41
14x2−9x−2(x+2)(4x−1); x≠−2, 1\frac{14x^2-9x-2}{\left(x+2\right)\left(4x-1\right)};\ x\ne-2,\ 1(x+2)(4x−1)14x2−9x−2; x=−2, 1
12x2−7x+2(x+2)(4x−1); x≠−2, 14\frac{12x^2-7x+2}{\left(x+2\right)\left(4x-1\right)};\ x\ne-2,\ \frac{1}{4}(x+2)(4x−1)12x2−7x+2; x=−2, 41
14x2−7x+2(x+2)(4x−1); x≠−14, 2\frac{14x^2-7x+2}{\left(x+2\right)\left(4x-1\right)};\ x\ne-\frac{1}{4},\ 2(x+2)(4x−1)14x2−7x+2; x=−41, 2
Subtract x2x+3−2x+12x−3\frac{x}{2x+3}-\frac{2x+1}{2x-3}2x+3x−2x−32x+1
−2x2−11x−3(2x−3)(2x+3); x≠±23\frac{-2x^2-11x-3}{\left(2x-3\right)\left(2x+3\right)};\ x\ne\pm\frac{2}{3}(2x−3)(2x+3)−2x2−11x−3; x=±32
−2x2−11x−3(2x−3)(2x+3); x≠±32\frac{-2x^2-11x-3}{\left(2x-3\right)\left(2x+3\right)};\ x\ne\pm\frac{3}{2}(2x−3)(2x+3)−2x2−11x−3; x=±23
−2x2+5x+3(2x−3)(2x+3); x≠±32\frac{-2x^2+5x+3}{\left(2x-3\right)\left(2x+3\right)};\ x\ne\pm\frac{3}{2}(2x−3)(2x+3)−2x2+5x+3; x=±23
−2x2+5x+3(2x−3)(2x+3); x≠±23\frac{-2x^2+5x+3}{\left(2x-3\right)\left(2x+3\right)};\ x\ne\pm\frac{2}{3}(2x−3)(2x+3)−2x2+5x+3; x=±32
Subtract 6x2+4x−32−x−5x−4\frac{6}{x^2+4x-32}-\frac{x-5}{x-4}x2+4x−326−x−4x−5
−x2+3x−34(x+8)(x−4); x≠−8, 4\frac{-x^2+3x-34}{\left(x+8\right)\left(x-4\right)};\ x\ne-8,\ 4(x+8)(x−4)−x2+3x−34; x=−8, 4
−x2+3x−34(x+8)(x−4); x≠−4, 8\frac{-x^2+3x-34}{\left(x+8\right)\left(x-4\right)};\ x\ne-4,\ 8(x+8)(x−4)−x2+3x−34; x=−4, 8
−x2−3x+46(x+8)(x−4); x≠−8, 4\frac{-x^2-3x+46}{\left(x+8\right)\left(x-4\right)};\ x\ne-8,\ 4(x+8)(x−4)−x2−3x+46; x=−8, 4
−x2−3x+46(x+8)(x−4); x≠−4, 8\frac{-x^2-3x+46}{\left(x+8\right)\left(x-4\right)};\ x\ne-4,\ 8(x+8)(x−4)−x2−3x+46; x=−4, 8
Subtract x2−32x+7−2x−52x+7\frac{x^2-3}{2x+7}-\frac{2x-5}{2x+7}2x+7x2−3−2x+72x−5
x2−2x−82x+7; x≠−72\frac{x^2-2x-8}{2x+7};\ x\ne-\frac{7}{2}2x+7x2−2x−8; x=−27
x2−2x−8; x≠0x^2-2x-8;\ x\ne0x2−2x−8; x=0
x2−2x+2; x≠0x^2-2x+2;\ x\ne0x2−2x+2; x=0
x2−2x+22x+7; x≠−72\frac{x^2-2x+2}{2x+7};\ x\ne-\frac{7}{2}2x+7x2−2x+2; x=−27
Simplify (add & divide) 12x+23xx−1x−3\frac{\frac{1}{2x}+\frac{2}{3x}}{\frac{x-1}{x-3}}x−3x−12x1+3x2
7x−216x2−6x; x≠0, 1, 3\frac{7x-21}{6x^2-6x};\ x\ne0,\ 1,\ 36x2−6x7x−21; x=0, 1, 3
7x−216x2−6x; x≠1, 3\frac{7x-21}{6x^2-6x};\ x\ne1,\ 36x2−6x7x−21; x=1, 3
7x2−21x6x3−6x2; x≠0, 1, 3\frac{7x^2-21x}{6x^3-6x^2};\ x\ne0,\ 1,\ 36x3−6x27x2−21x; x=0, 1, 3
7x2−21x6x3−6x2; x≠1, 3\frac{7x^2-21x}{6x^3-6x^2};\ x\ne1,\ 36x3−6x27x2−21x; x=1, 3
Add 7xx2−5x+x2x−5\frac{7x}{x^2-5x}+\frac{x^2}{x-5}x2−5x7x+x−5x2
x3+7xx(x−5); x≠5\frac{x^3+7x}{x\left(x-5\right)};\ x\ne5x(x−5)x3+7x; x=5
x2+7x−5; x≠0, 5\frac{x^2+7}{x-5};\ x\ne0,\ 5x−5x2+7; x=0, 5
x4−5x3+7x2−35x(x2−5x)(x−5); x≠5\frac{x^4-5x^3+7x^2-35x}{\left(x^2-5x\right)\left(x-5\right)};\ x\ne5(x2−5x)(x−5)x4−5x3+7x2−35x; x=5
x4−5x3+7x2−35x(x2−5x)(x−5); x≠0, 5\frac{x^4-5x^3+7x^2-35x}{\left(x^2-5x\right)\left(x-5\right)};\ x\ne0,\ 5(x2−5x)(x−5)x4−5x3+7x2−35x; x=0, 5
Add 2x−34x−7+2x−34x−7\frac{2x-3}{4x-7}+\frac{2x-3}{4x-7}4x−72x−3+4x−72x−3
4x−64x−7; x≠−74\frac{4x-6}{4x-7};\ x\ne-\frac{7}{4}4x−74x−6; x=−47
4x2−6x+94x−7; x≠74\frac{4x^2-6x+9}{4x-7};\ x\ne\frac{7}{4}4x−74x2−6x+9; x=47
4x−64x−7; x≠74\frac{4x-6}{4x-7};\ x\ne\frac{7}{4}4x−74x−6; x=47
4x−68x−14; x≠−148\frac{4x-6}{8x-14};\ x\ne-\frac{14}{8}8x−144x−6; x=−814
Add 2xx2−36+x+4x+6\frac{2x}{x^2-36}+\frac{x+4}{x+6}x2−362x+x+6x+4
x2−24(x+6)(x−6); x≠±6\frac{x^2-24}{\left(x+6\right)\left(x-6\right)};\ x\ne\pm6(x+6)(x−6)x2−24; x=±6
x3+6x2−24x(x+6)(x2−36); x≠−6, 36\frac{x^3+6x^2-24x}{\left(x+6\right)\left(x^2-36\right)};\ x\ne-6,\ 36(x+6)(x2−36)x3+6x2−24x; x=−6, 36
x2+2x−24(x+6)(x−6); x≠±6\frac{x^2+2x-24}{\left(x+6\right)\left(x-6\right)};\ x\ne\pm6(x+6)(x−6)x2+2x−24; x=±6
x2+12x+24(x+6)(x−6); x≠±6\frac{x^2+12x+24}{\left(x+6\right)\left(x-6\right)};\ x\ne\pm6(x+6)(x−6)x2+12x+24; x=±6
Add 2x2−x−20+3x2+7x+12\frac{2}{x^2-x-20}+\frac{3}{x^2+7x+12}x2−x−202+x2+7x+123
5x−9(x−5)(x+4)(x+3); x≠−5, 3 4\frac{5x-9}{\left(x-5\right)\left(x+4\right)\left(x+3\right)};\ x\ne-5,\ 3\ 4(x−5)(x+4)(x+3)5x−9; x=−5, 3 4
5x−11(x−5)(x+4)(x+3); x≠−4,−3, 5\frac{5x-11}{\left(x-5\right)\left(x+4\right)\left(x+3\right)};\ x\ne-4,-3,\ 5(x−5)(x+4)(x+3)5x−11; x=−4,−3, 5
5x−11(x−5)(x+4)(x+3); x≠−5, 3 4\frac{5x-11}{\left(x-5\right)\left(x+4\right)\left(x+3\right)};\ x\ne-5,\ 3\ 4(x−5)(x+4)(x+3)5x−11; x=−5, 3 4
5x−9(x−5)(x+4)(x+3); x≠−4,−3 5\frac{5x-9}{\left(x-5\right)\left(x+4\right)\left(x+3\right)};\ x\ne-4,-3\ 5(x−5)(x+4)(x+3)5x−9; x=−4,−3 5
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