נוסחאות כפל מקוצר:
![](data:image/png;base64,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)
דוגמא 1
פרק לגורמים:![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAC8AAAAeCAIAAAAzY9DzAAABNklEQVRYhe2X0ZXEIAhFqYuCqIdqaIZi3A9HByLuROXszkfeV3Ji8PpAYqB8k+C/AZwyaYQAWU8ipNEoI8DX0JRSlPGhmeihmWuHRhkBSEIaZexP8miE3rtNyA0RZi1F6DWroTkzuu7weJO7yGNXUuaXBWDeuGmLMq1BD6GdQTYc9AHg32jdjAmGJ2s0ykhEzrU+m1A11GfqkiVlrAN8kW3RCAEii5tiVhQRjb15e9YLw+hGbnuATRqTtO6R1ZI3vUSm6w1oLEK7rGaMyw9oBtMAACzMZVlDlV5oTOG3lCBLyLPoTZDTS9MJaCZpuateVR8j/NbWcnpxt0vowxlnaktAc64jg/PPxbMCvaV8bxY/G07JNPWbvK3k883BeaSU3H+Gtlv2DcqhaT1uesL5U5osPTRz/QCZDUqFDMbvMgAAAABJRU5ErkJggg==)
פתרון:
משתמשים בנוסחה מספר 1:
![](data:image/png;base64,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)
דוגמא 2:
פשט:![](data:image/png;base64,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)
פתרון
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGkAAABHCAIAAACLRv4rAAAD6UlEQVR4nO1c4ZmsIAykLgqinhTwrg2aoRjeDxEDBCRZOHGP+XO3qGEyixhm+VR+QwqVfHKgjfXegVZKKaWMHdhViKrBlcesUaFHY4oTAqveCH2c2TnaghjSzoHW4Lx3YI6TrKnwlOCMTnDw3gJqsgb3Gq9jROhhI8gxJYa0i19u0oMeNfSsiZHQv1c36QCI6iBWvAjpUVNXh5dj8rWp2EhFuFqtCTeLA620Mfqkeo2LFvBZxRXOuZB+pBA6Rqy4EZLOG9qhrlCC4W+ZI9ZJVdgQnTrQ2pjYco0Naz/Tjjjp+Ld2VU+Eahr1g1mCZI64h5Z2+RySnnR+AzisytE1anAH4QKhdsnM0+JD51jELXLs046Y/9KpIZzQOUm3ZivUgamOO26Eu0aUAv6s8oYsR0K7jA6+wSGmYwDQWQ60BjC98+z1FK/Oj2giLuc7boSka0q7Isc8QTJHYr7D30GslFQsps4nOZo/j0bOUzirzs45marMqOcsL0LacaFdnuM/KkEiR/I569kViQMYWTknPNL6bmyJzqMC+Sik6rvz6D1PBwYcfXcMABG4i9VYEDk21xX9cSt11BehK0eBdhsBWzs5tnZybO3k2NrJsbWT41W+8WLEXuQbL0bsTb7xAGKUKSAk5v2LfGOSGJMVoZ2QmPf+Rb5xjRiHFVe7KrGj+TW+cZXYDaspxI7W9/jGNWIMVtz5rkrsaH2Rb0wSY7GqOPICYt77d/nGXWZvi1XlhwsJsUS7L/GNp7HyX+wbz2VFEvsa3/gBVtsLkGNrJ8fWTo6tnRxbOzm2dnLM0W5ewbBSgTTMc8el47HUtN1r3U7X2woiz8RAzz2zpPtXR/2uNzfyXIz13K/k23t8s4tYm7AZkSdjsOd+XHDeZl26s1xvVuTZGOy59/16kXUi3oT9MAZ67tU45xHa+Oa63utgsOcuGR/yTdgPY7DnXk++AZ7rvQ7Geu7SFBmu90IY6LkvOZ/PxDDPfcm7ai6+xnN/ANtHkWNrJ8fWTo6tnRxbOzm2dnJwtOspTv5SAZNr11pTdvjdg9x20vRfboGWaXdrs/f43Z+67bTpz3wDyi8g0c4aA81FaY8TNMhtD7HOJTZhvj+OxAsAm9yz2StDfnK/G7kq52Xj3PZIIWjXfAPKM0AelCE8tMxnL8Ha7Z7hXrtyDK9k1kTvE+Im1YTbHVfSeUf4aI85NcUtZL4f2uUZXmncmXq83e4ZmvNdRaSFzPd2jUK8MoQ6v3+3e6W38rdFwvQ/Pi1kE9a1I332Etzd7mV/caCfVnvF9F+qtvP+8zXZKvsbnoBYu+n7ytfHB9otVWs9ge2jyLG1k+M/2i0fdowlsqcAAAAASUVORK5CYII=)
דוגמא 3
פרק לגורמים:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEIAAAAeCAIAAAAXel8zAAABVUlEQVRYhe1YyRHDIAzcuuggjageVaNmVAx5AOZwzOGQIfZ4X0kstFp0QAx7C2B1AHOwWIYQDOv3flbKUDbA9WVYa5XNIyPikTED/ydD2QAkw4tOysjpUD47CMRNlcpcEWa1VmhMSFOGEAC8XqVVQZfIqLhUJlZnUt1wZR5QEbamPnOFQPL5gIl0iD8dJSL3WaEMYqfCqfjEndJhZ11Bsdku4X6d/zLcHQdw7kjSuIrPKR1CgK1WK5tDyPmo5ucclI2nCSTNIPcytopNEFxtBK0mafhprNuCzWtkSEYdfvO7avAUEs95Lnpk9MYVSiiYn+zqXZoAIA8kNEdGfhhj16SK9VG22PS+2LhIlE1GUOvC/Nz4VaXU0FfPDaveU/xnEOrIaXMcLv/3RzzjdrhUhjLLnEvuQhl+yl1chrujXlxGecZ/qWT9e6pLZyPiJjKm4JHxT3gDwxG0ktqZhK8AAAAASUVORK5CYII=)
פתרון:
![](data:image/png;base64,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)
דוגמא 1
פרק לגורמים:
פתרון:
משתמשים בנוסחה מספר 1:
דוגמא 2:
פשט:
פתרון
דוגמא 3
פרק לגורמים:
פתרון:
אין תגובות:
הוסף רשומת תגובה