LITLEKIDS26
Answered

Factoriser l’expression suivante:
4x²-4x+1+(x+5)(2x-1)

Sagot :

DROOPETTE
4x²-4x+1+(x+5)(2x-1)
=(2x-1)²+(x+5)(2x-1)
=(2x-1)(2x-1)+(x+5)(2x-1)
=(2x-1)(2x-1+x+5)
=(2x-1)(3x+4)
4x²-4x+1 est de la forme (a - b)² = a² - 2ab + b²
4x²-4x+1 = (2x-1)(2x-1)
4x²-4x+1+(x+5)(2x-1) = (2x-1)(2x-1) + (x+5)(2x-1) = (2x-1)(2x-1+x+5) = (2x-1)(3x+4)