\(3(a\:-\:2b)\:-\:4(b\:-\:2a)\)
Buka kurung,
\(3a\:-\:6b\:-\:4b + 8a\)
Kumpulkan suku-suku yang sejenis
\(3a + 8a \:-\:6b\:-\:4b\)
\(11a\:-\:10b\)
\(8cd(d^3\:-\:4)\:-\:2cd^2(10d^2 + 5c^2)\)
Buka kurung
\(8cd^{1 + 3}\:-\:32cd\:-\:20cd^{2 + 2} \:-\:10c^{1 + 2}d^2\)
\(8cd^4\:-\:32cd\:-\:20cd^4 \:-\:10c^3d^2\)
Kumpulkan suku-suku yang sejenis
\(8cd^4\:-\:20cd^4\:-\:10c^3d^2\:-\:32cd\)
\(-12cd^4\:-\:10c^3d^2\:-\:32cd\)
\(\dfrac{16f^4}{5g} \times \dfrac{25g^5}{8fg}\)
\(\dfrac{\cancelto{2}{16}f^4 \cdot \cancelto{5}{25}g^5}{\cancel{5}g \cdot \cancel{8}fg}\)
\(\dfrac{2f^4 \cdot 5g^5}{g \cdot fg}\)
\(\dfrac{10f^4g^5}{fg^2}\)
\(10f^{4\:-\:1}g^{5\:-\:2}\)
\(10f^3g^3\)
\(\dfrac{2x\:-\:1}{3} + \dfrac{2\:-\:x}{2}\)
Samakan penyebut
\(\dfrac{2(2x\:-\:1)}{6} + \dfrac{3(2\:-\:x)}{6}\)
\(\dfrac{4x\:-\:2}{6} + \dfrac{6\:-\:3x}{6}\)
\(\dfrac{4x\:-\:2 + 6\:-\:3x}{6}\)
\(\dfrac{4x\:-\:3x\:-\:2 + 6}{6}\)
\(\dfrac{x + 4}{6}\)
\(4(x + 6) = 3x + 25\)
\(4x + 24 = 3x + 25\)
\(4x\:-\:3x = 25\:-\:24\)
\(x = 1\)
\(\dfrac{1}{2}(3x + 10)\:-\:2 = 10\:-\:\dfrac{3}{2}(4\:-\:5x)\)
Kalikan kedua ruas dengan 2
\(3x + 10\:-\:4 = 20\:-\:3(4\:-\:5x)\)
\(3x + 6 = 20 \:-\:12 + 15x\)
\(3x + 6 = 8 + 15 x\)
\(3x\:-\:15x = 8\:-\:6\)
\(-12x = 2\)
Bagi kedua ruas dengan \(-12\)
\(x = -\dfrac{2}{12}\)
\(x = -\dfrac{1}{6}\)
\(-3a^3 + 2b^2c \:-\:ac\)
\(-3(-1)^3 + 2(-2)^2(-3) \:-\:(-1)(-3)\)
\(-3(-1) + 2(4)(-3) \:-\:(3)\)
\(3 \:-\:24 \:-\:3\)
\(-24\)
Jadi, \(-3a^3 + 2b^2c \:-\:ac = -24\)
\(\dfrac{5(x + 2y)\:-\:3(x + 3y)}{8x + 4y} + \dfrac{27x^3y^2}{3xy}\)
\(\dfrac{5x + 10y\:-\:3x\:-\:9y}{4(2x + y)} + \dfrac{\cancelto{9}{27}x^3y^2}{\cancel{3}xy}\)
\(\dfrac{5x\:-\:3x + 10y\:-\:9y}{4(2x + y)} + 9x^{3\:-\:1}y^{2\:-\:1}\)
\(\dfrac{\cancel{2x + y}}{4\cancel{(2x + y)}} + 9x^2y^1\)
\(\dfrac{1}{4} + 9x^2y\)
