I gimnazjum

Matematyka z plusem 1. Podręcznik

Rozwiązanie 1

a) 2x2−xy2−5x2+2xy2=−3x2+xy2

wiek Jasia: x lat wiek siostry: x-2 lat

a) −6a2+  <img style="vertical-align: bottom;" src="https://prod.odrabiamy-assets.pl/uploads/content_image/image/59357/qM6EnV8tYmVmD7rpuxSIiw%3D%3D_e0d700288ea1ae0943905e62f870da520ee66d8b672c8fd9b9df8d9d80d5c5d3.png" width="18" height="19">  +8a+  <img style="vertical-align: bottom;" src="https://prod.odrabiamy-assets.pl/uploads/content_image/image/59358/t%2BQJQ5PfWR5KXmWm7IZFkw%3D%3D_630e6f43427827efe2e73588f3c2749e47e9f94e962fc8766b81ed7edb3df995.png" width="20" height="20"> −7=8a2−7   <img style="vertical-align: bottom;" src="https://prod.odrabiamy-assets.pl/uploads/content_image/image/59357/qM6EnV8tYmVmD7rpuxSIiw%3D%3D_e0d700288ea1ae0943905e62f870da520ee66d8b672c8fd9b9df8d9d80d5c5d3.png" width="18" height="19">  + <img style="vertical-align: bottom;" src="https://prod.odrabiamy-assets.pl/uploads/content_image/image/59358/t%2BQJQ5PfWR5KXmWm7IZFkw%3D%3D_630e6f43427827efe2e73588f3c2749e47e9f94e962fc8766b81ed7edb3df995.png" width="20" height="20"> <img style="vertical-align: middle;" src="../../../math/formula?%5Cdisplaystyle%3D%7B8%7D%7B%7Ba%7D%7D%5E%7B%7B2%7D%7D-%7B7%7D%2B%7B6%7D%7B%7Ba%7D%7D%5E%7B%7B2%7D%7D-%7B8%7D%7Ba%7D"> +7

a) a+(a−b)=2a−b b) 2x−(x+4)=2x−x−4=x−4

a) (a+b)−(2a−b)−(a−2b)=a+b−2a+b−a+2b=−2a+4b

<img style="vertical-align: middle;" src="../../../math/formula?%5Cdisplaystyle%7Ba%7D%7B%5C)%7D%5C%20%7B2%7D%7B%7Bx%7D%7D%5E%7B%7B2%7D%7D-%7B3%7D%7Bx%7D%2B%7B8%7D%2B%7Ba%7D%3D%7B4%7D%7B%7Bx%7D%7D%5E%7B%7B2%7D%7D-%7Bx%7D"> 2x2−3x+8+2x2+2x−8=4x2−x

a)  abc−(abc−(−xyz−(xyz−abc)))= =abc−(abc−(−xyz−xyz+abc))= =abc−(abc+2xyz−abc)=

<img style="vertical-align: middle;" src="../../../math/formula?%5Cdisplaystyle%7Ba%7D%7B%5C)%7D%5C%20%7B6%7D%7B%5Cleft(%7Bx%7D-%7B4%7D%5Cright)%7D-%7B2%7D%3D%7B6%7D%7Bx%7D-%7B24%7D-%7B2%7D%3D%7B6%7D%7Bx%7D-%7B26%7D"> b) 2(x+1)−3(x−1)=2x+2−3x+3=−x+5

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