Drukuj
Uprość wyrażenie:
- \(4x(3x+2) - (2x-1)(x+3)\)
- \(3a(2a-4) + 5(a^2-1)\)
- \(2b(b+3) - 4(b-2)\)
- \(6y(2y-3) - (4y-1)(y+2)\)
- \(2m(m-5) + 3m(2m+1)\)
- \((3p+2)(2p-1) - p(4p-3)\)
- \(4x(3x+2) - (2x-1)(x+3)\) \(= 4x\cdot3x+4x\cdot2 - \Bigl[2x\cdot x+2x\cdot3-(1\cdot x+1\cdot3)\Bigr] \) \(= 12x^2+8x - (2x^2+6x-x-3) \) \(= 12x^2+8x - (2x^2+5x-3)\) \(= (12x^2-2x^2)+(8x-5x)+3 \) \(= 10x^2+3x+3\)
- \(3a(2a-4) + 5(a^2-1)\) \(= 6a^2-12a+5a^2-5\) \(= 11a^2-12a-5\)
- \(2b(b+3) - 4(b-2)\) \(= 2b^2+6b-4b+8\) \(= 2b^2+2b+8\)
- \(6y(2y-3) - (4y-1)(y+2)\) \(= 12y^2-18y - \Bigl[4y\cdot y+4y\cdot2-1\cdot y-1\cdot2\Bigr]\) \(= 12y^2-18y - (4y^2+8y-y-2)\) \(= 12y^2-18y - (4y^2+7y-2)\) \(= (12y^2-4y^2)+(-18y-7y)+2\) \(= 8y^2-25y+2\)
- \(2m(m-5) + 3m(2m+1)\) \(= 2m^2-10m+6m^2+3m\) \(= 8m^2-7m\)
- \((3p+2)(2p-1) - p(4p-3)\) \(= \Bigl[3p\cdot2p+3p\cdot(-1)+2\cdot2p-2\Bigr] - (4p^2-3p)\) \(= (6p^2-3p+4p-2) - 4p^2+3p\) \(= (6p^2-4p^2)+(-3p+4p+3p)-2\) \(= 2p^2+4p-2\)
Strony z tym zadaniem
Mnożenie wyrażeń algebraicznychSąsiednie zadania
Zadanie 4483Zadanie 4484Zadanie 4485 (tu jesteś)
Zadanie 4486Zadanie 4487