Révisions calcul littéral#
Exercices#
Exercice 1#
Réduisez au maximum.
\(a^2 \cdot 2ab =\)
\(3a \cdot (-2ab) =\)
\(4a^2 \cdot 5a \cdot 2b =\)
\(2a \cdot (-3a^2) \cdot (-2ab) =\)
\(5a^2 \cdot 3a^3 \cdot (-2a^2) =\)
\(7xy \cdot 3x^2 =\)
Exercice 2#
Réduisez au maximum.
\(a \cdot a \cdot a \cdot b \cdot b =\)
\((a^2)^3 =\)
\(\dfrac{2y}{xy} =\)
\(4w + 5w - w =\)
\((2a^2)^2 \cdot a^3 \cdot a^5 =\)
\(x \cdot x + 2x^2 =\)
Exercice 3#
Développez.
\(3a^2 \cdot (2ab + b^2) =\)
\(2a^3 \cdot (5a - 3b) =\)
\(4x^2 \cdot (5xy - x^2) =\)
\((7ab - 3a^2) \cdot 3ab =\)
\((4a^2b - 7ab^2) \cdot a^3 =\)
\((3a - 2b) \cdot 7ab =\)
Exercice 4#
Développez et réduisez au maximum.
\(3x(x + 5) - 2x =\)
\(4x(x - 3) + x^2 =\)
\(2x(y + 4) - 3xy =\)
\(5x(x + 2) - 10x^2 =\)
Exercice 5#
Réduisez au maximum.
\((2a + 5b) - (7a + 2b) =\)
\((3x - 4y + z) + (2x - y + 2z) =\)
\((4a^2 - 7a + 2) - (-2a^2 + 3a - 2) =\)
\(-(4x^2 - 2x + 4) + (-4x^2 - 7x + 1) =\)
\((4ab^2 - 5a^2b) - (3ab^2 + 2a^2b) =\)
\(-(2a^3 - 3b^2) - (7a^3 + b^2) + (3a^3 - b^2) =\)
Exercice 6#
Développez et réduisez au maximum.
\(3(x + 4) - 2(5 - 3x) =\)
\(10 + 4y - 7(2y - 5) + 6 =\)
\(4x + 2x(3 - x) - 5\left(x^2 - 2x + 4\right) =\)
\(12 + 3x - 4x(2x - 3) + 7x(1 - x) =\)
\(9y + 6(2y - 5) + 7 + 4(2y - 8) =\)
Exercice 7#
Développez et réduisez au maximum.
\(3b - \big(5a + 3ab - (4a - ab) - 9b\big) =\)
\((3x^4 - 2x^2 + 2) \cdot (-2x^2 + 3) =\)
\(2x \cdot (3x - x^2 + 1) - 3 \cdot (x^2 - 2x) =\)
\((a + 1) \cdot (2a - 3) - (a - 1) \cdot (a + 1) =\)
\(2x \cdot \big((x - 3) - (x - 2)\big) =\)
\((3x - y) \cdot (3x - 2y) + (2x - y) \cdot x =\)
Exercice 8#
Développez et réduisez au maximum.
\(\dfrac{4}{3}x^3y^3 \cdot (-3xy^3)^2 =\)
\(2a - \big(3b - (-5 + 3a) - 4\big) - 2a =\)
\((2x^3 - 3y) \cdot (-3x^3 + y) =\)
\(x + y \cdot (-3x + 4y) =\)
\((2x - 3y) \cdot (3x - y) - (2x - y) \cdot (5x + y) =\)
\(4x - y \cdot (x - 2) + 3x \cdot (5 + y) =\)
\(\left(3x^3 - 5x^2 + 10\right) + \left(2x^3 - 4x^2 + 8\right) =\)
\(\left(4x^2 + 3y\right) \cdot (-x + 5y) =\)
\(7x \cdot \left(3y \cdot x^2\right) =\)
\(2x \cdot \left(3y - x^2\right) =\)
\(6y^3 + \left(9y^3 - 4\right) - 12 =\)
\(3y^2 - 5y^2 \cdot (10y - 25) =\)
\(5x + 7x \cdot (4x - 2) =\)
\(-\left(4x^3 + 15xy\right) - 8x \cdot \left(-6x^2 - 9y\right) =\)
\(50 - (2x - 3)(3x - 20) =\)
\((5x + 10) - (2x - 5)(3x + 3) =\)
Solutions#
Exercice 1#
\(2a^3b\)
\(-6a^2b\)
\(40a^3b\)
\(12a^4b\)
\(-30a^7\)
\(21x^3y\)
Exercice 2#
\(a^3 \cdot b^2\)
\(a^6\)
\(\dfrac{2}{x}\)
\(8w\)
\(4a^{12}\)
\(3x^2\)
Exercice 3#
\(6a^3b + 3a^2b^2\)
\(10a^4 - 6a^3b\)
\(20x^3y - 4x^4\)
\(21a^2b^2 - 9a^3b\)
\(4a^5b - 7a^4b^2\)
\(21a^2b - 14ab^2\)
Exercice 4#
\(3x^2 + 13x\)
\(5x^2 - 12x\)
\(-xy + 8x\)
\(-5x^2 + 10x\)
Exercice 5#
\(-5a + 3b\)
\(5x - 5y + 3z\)
\(6a^2 - 10a + 4\)
\(-8x^2 - 5x - 3\)
\(ab^2 - 7a^2b\)
\(-6a^3 + b^2\)
Exercice 6#
\(9x + 2 =\)
\(-10y + 51 =\)
\(-7x^2 + 20x - 20 =\)
\(-15x^2 + 22x + 12 =\)
\(29y - 55 =\)
Exercice 7#
\(-a + 12b - 4ab\)
\(-6x^6 + 13x^4 - 10x^2 + 6\)
\(-2x^3 + 3x^2 + 8x\)
\(a^2-a-2\)
\(-2x\)
\(11x^2 - 10xy + 2y^2\)
Exercice 8#
\(12x^5y^9\)
\(3a - 3b - 1\)
\(-6x^6 + 11x^3y - 3y^2\)
\(x - 3xy + 4y^2\)
\(-4x^2 - 8xy + 4y^2\)
\(19x + 2xy + 2y\)
\(5x^3 - 9x^2 + 18\)
\(-4x^3 + 20x^2y - 3xy + 15y^2\)
\(21x^3y\)
\(-2x^3 + 6xy\)
\(15y^3 - 16\)
\(-50y^3 + 128y^2\)
\(28x^2 - 9x\)
\(44x^3 + 57xy\)
\(-6x^2 + 49x - 10\)
\(-6x^2 + 14x + 25\)