Réduction des expressions algébriques — Bac Sciences Maths

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[{"id":67122,"question":"Quelle est la forme réduite de l'expression 3x + 5x - 2x ?","option_a":"6x","option_b":"8x","option_c":"10x","option_d":"4x","option_e":"","option_f":"","bonne_reponse":"A","explication":"On combine les termes semblables : (3 + 5 - 2)x = 6x.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":67123,"question":"La réduction de (2a)^3 est égale à 6a^3.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La bonne réduction est (2a)^3 = 8a^3, car on élève le coefficient et la variable à la puissance.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":67124,"question":"Quelle est la réduction de √18 + √8 ?","option_a":"5√2","option_b":"3√2","option_c":"7√2","option_d":"4√2","option_e":"","option_f":"","bonne_reponse":"A","explication":"√18 = 3√2 et √8 = 2√2, donc √18 + √8 = 5√2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":67125,"question":"La réduction de (3x²y) \/ (6xy²) est :","option_a":"x \/ (2y)","option_b":"3x \/ (2y)","option_c":"x² \/ (2y)","option_d":"x \/ y","option_e":"","option_f":"","bonne_reponse":"A","explication":"On simplifie les coefficients (3\/6 = 1\/2) et les variables (x²\/x = x, y\/y² = 1\/y).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":67126,"question":"La réduction de 4√5 - 2√5 est égale à 2√5.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"On combine les termes semblables : (4 - 2)√5 = 2√5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":67127,"question":"Quelle est la forme réduite de (a + b)² - (a - b)² ?","option_a":"4ab","option_b":"2ab","option_c":"a² + b²","option_d":"2a² + 2b²","option_e":"","option_f":"","bonne_reponse":"A","explication":"En développant : (a² + 2ab + b²) - (a² - 2ab + b²) = 4ab.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":67128,"question":"La réduction de 12 \/ √3 est :","option_a":"4√3","option_b":"3√3","option_c":"√3","option_d":"12√3","option_e":"","option_f":"","bonne_reponse":"A","explication":"On rationalise : 12 \/ √3 = (12√3) \/ 3 = 4√3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":67129,"question":"La réduction de x² - 4 est égale à (x - 2)(x + 2).","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est une identité remarquable : x² - 4 = (x - 2)(x + 2).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":67130,"question":"Quelle est la réduction de (2x + 3)(x - 1) ?","option_a":"2x² + x - 3","option_b":"2x² + 5x - 3","option_c":"2x² - x - 3","option_d":"x² + x - 3","option_e":"","option_f":"","bonne_reponse":"A","explication":"En développant : 2x² - 2x + 3x - 3 = 2x² + x - 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":67131,"question":"La réduction de √(a²b) est :","option_a":"a√b","option_b":"|a|√b","option_c":"a²√b","option_d":"√a√b","option_e":"","option_f":"","bonne_reponse":"B","explication":"√(a²b) = √(a²) × √b = |a|√b (car a peut être négatif).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]