https://peda.net/id/a1b292c2d78 2018-10-24T14:33:30+03:00 https://peda.net/:static/535/peda.net.logo.bg.svg <div class="license">Tämän sivun lisenssi <a rel="license" href="https://peda.net/info">Peda.net-yleislisenssi</a></div> https://peda.net/id/7676ddbcd78 2018-10-24T15:00:55+03:00 <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5Cleft(a%2Bb%5Cright)%5E3%3Da%5E3%2B3a%5E2b%2B3ab%5E2%2Bb%5E3" alt="\left(a+b\right)^3=a^3+3a^2b+3ab^2+b^3"/></div> <div>a)</div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5Cleft(x%2B1%5Cright)%5E3%3Dx%5E3%2B3x%5E2%2B3x%2B1" alt="\left(x+1\right)^3=x^3+3x^2+3x+1"/></div> <div>b)</div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5Cleft(x%2B2%5Cright)%5E3%3Dx%5E3%2B6x%5E2%2B12x%2B8" alt="\left(x+2\right)^3=x^3+6x^2+12x+8"/></div> <div>c)</div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5Cleft(x-3%5Cright)%5E3%3Dx%5E3-9x%5E2%2B27x-27" alt="\left(x-3\right)^3=x^3-9x^2+27x-27"/></div> <div>d)</div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5Cleft(x%2B10%5Cright)%5E3%3Dx%5E3%2B30x%5E2%2B300x%2B1000" alt="\left(x+10\right)^3=x^3+30x^2+300x+1000"/></div> 2018-10-24T15:00:55+03:00 https://peda.net/id/51bce80ad78 2018-10-24T14:52:44+03:00 <div>a)</div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5Cleft(x-1%5Cright)%5Cleft(x%2B1%5Cright)%5Cleft(2x-3%5Cright)%3D%5Cleft(x%5E2%2B1%5Cright)%5Cleft(2x-3%5Cright)%3D2x%5E2-3x%5E2%2B2x-3%3D-x%5E2%2B2x-3" alt="\left(x-1\right)\left(x+1\right)\left(2x-3\right)=\left(x^2+1\right)\left(2x-3\right)=2x^2-3x^2+2x-3=-x^2+2x-3"/></div> <div>b)</div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5Cleft(2x%2B1%5Cright)%5Cleft(3x-1%5Cright)%5Cleft(x%2B2%5Cright)%3D%5Cleft(6x%5E2-x-1%5Cright)%5Cleft(x%2B2%5Cright)%3D6x%5E3-x%5E2-x%2B12x%5E2-2x-2%3D6x%5E3%2B11x%5E2-3x-2" alt="\left(2x+1\right)\left(3x-1\right)\left(x+2\right)=\left(6x^2-x-1\right)\left(x+2\right)=6x^3-x^2-x+12x^2-2x-2=6x^3+11x^2-3x-2"/></div> 2018-10-24T14:52:44+03:00 https://peda.net/id/3198220cd78 2018-10-24T14:47:42+03:00 a)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Cleft(x%5E2-1%5Cright)%5Cleft(x%5E2%2B1%5Cright)" alt="\left(x^2-1\right)\left(x^2+1\right)"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=laskukaava%5C%20%5Cleft(a%2Bb%5Cright)%5Cleft(a-b%5Cright)%3Da%5E2-b%5E2" alt="laskukaava\ \left(a+b\right)\left(a-b\right)=a^2-b^2"/><br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5Cleft(x%5E2%5Cright)%5E2-1%5E2%3Dx%5E4-1" alt="\left(x^2\right)^2-1^2=x^4-1"/></div> <div>b)</div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5Cleft(2x%5E3%2B1%5Cright)%5E2" alt="\left(2x^3+1\right)^2"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=laskukaava%5C%20%5Cleft(a%2Bb%5Cright)%5E2%3Da%5E2%2B2ab%2Bb%5E2" alt="laskukaava\ \left(a+b\right)^2=a^2+2ab+b^2"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Cleft(2x%5E3%5Cright)%5E2%2B4x%5E3%2B1%5E2%3D4x%5E6%2B4x%5E3%2B1" alt="\left(2x^3\right)^2+4x^3+1^2=4x^6+4x^3+1"/></div> <div>c)</div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5Cleft(x%5E4-1%5Cright)%5E2" alt="\left(x^4-1\right)^2"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=laskukaava%5C%20%5Cleft(a-b%5Cright)%5E2%3Da%5E2-2ab%2Bb%5E2" alt="laskukaava\ \left(a-b\right)^2=a^2-2ab+b^2"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Cleft(x%5E4%5Cright)%5E2-2x%5E4%2B1%5E2%3Dx%5E8-2x%5E4%2B1" alt="\left(x^4\right)^2-2x^4+1^2=x^8-2x^4+1"/></div> 2018-10-24T14:44:41+03:00 https://peda.net/id/0c7c2870d78 2018-10-24T14:36:29+03:00 <img src="https://math-demo.abitti.fi/math.svg?latex=%5Cleft(x%5E2%5Cright)%5E3%3Dx%5E6" alt="\left(x^2\right)^3=x^6"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Cleft(3x%5Cright)%5E2%3D9x%5E2" alt="\left(3x\right)^2=9x^2"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Cleft(-2x%5E4%5Cright)%5E3%3D8x%5E%7B12%7D" alt="\left(-2x^4\right)^3=8x^{12}"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Cleft(-x%5E3%5Cright)%5E4%3Dx%5E%7B12%7D" alt="\left(-x^3\right)^4=x^{12}"/> 2018-10-24T14:36:29+03:00