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Aidezsvpurgent
@Aidezsvpurgent
April 2019
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URGENT SVP
on considère l'expression E=( 4x+5)²-(2x-7)²
1. développer l'expression E
2. en utilisant l'identité remarquable a² - b², factoriser l'expression F
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Quantum
Verified answer
1)E=(4x+5)²-(2x-7)²
=16x²+40x+25-4x²+28x-49
=12x²+68x-24
2)E=(4x+5)²-(2x-7)²
=(4x+5+2x-7)(4x+5-2x+7)
=(6x-2)(2x+12)
=4(3x-1)(x+6)
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Thanks 1
Quantum
non puisque 6x-2=2(3x-1) et 2x+12=2(x+6) donc 2*2(3x-1)(x+6)=4(3x-1)(x+6)
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Verified answer
1)E=(4x+5)²-(2x-7)²=16x²+40x+25-4x²+28x-49
=12x²+68x-24
2)E=(4x+5)²-(2x-7)²
=(4x+5+2x-7)(4x+5-2x+7)
=(6x-2)(2x+12)
=4(3x-1)(x+6)