Chapitres
- 01. Exercice
- 02. Correction
Exercice
1) 3(4x-3)-(2-x)(4x-3)
=(4x-3)[3-(2-x)]
=(4x-3)(3-2+x)
=(4x-3)(x+1)
2)
(x+2)(x-5)-3x(x+2)+2(x-6)(x+2)
=(x+2)[(x-5)-3x+2(x-6)]
=(x+2)[x-5-3x+2x-12]
=(x+2)(0x-17)
=(x+2)(-17)
=-17(x+2)
3)
(8x-5)+2(5-8x)-(3x+2)(16x-10)
= (8x-5)-2(-5+8x)-(3x+2)*2(8x-5)
= 1(8x-5)-2(8x-5)-2(3x+2)(8x-5)
=(8x-5)[1-2-2(3x+2)]
=(8x-5)[-1-6x-4]
=(8x-5)(-6x-5)
4)
2x+5-3(5-2x)+4(3x-8)(10-4x)
=(-2x+5)-3(-2x+5)+4(3x-8)*2(-2x+5)
= 1(-2x+5)-3(-2x+5)+8(3x-8)(-2x+5)
=(-2x+5)[1-3+8(3x-8)]
=(-2x+5)[-2+24x-64]
=(-2x+5)(24x-66)
= (-2x+5)*2(12x-33)
=2(-2x+5)(12x-33)
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