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560 а) (А в квадрате+3а )в квадрате
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560
![1)a^4+6a^3+9a^2=(a^2+3a)^2\ 1)a^4+6a^3+9a^2=(a^2+3a)^2\](https://tex.z-dn.net/?f=1%29a%5E4%2B6a%5E3%2B9a%5E2%3D%28a%5E2%2B3a%29%5E2%5C)
![2)25-(2-3a)^2=(5-(2-3a))(5+(2-3a))=\=(5-2+3a)(5+2-3a)=(3+3a)(7-3a) 2)25-(2-3a)^2=(5-(2-3a))(5+(2-3a))=\=(5-2+3a)(5+2-3a)=(3+3a)(7-3a)](https://tex.z-dn.net/?f=2%2925-%282-3a%29%5E2%3D%285-%282-3a%29%29%285%2B%282-3a%29%29%3D%5C%3D%285-2%2B3a%29%285%2B2-3a%29%3D%283%2B3a%29%287-3a%29)
561
![1.(a+1)^2-(4-3a)^2=(a+1+4-3a)(a+1-(4-3a)=\=(5-2a)(a+1-4+3a)=(5-2a)(4a-3)\2.(8b-1)^2-(2b+3)^2=(8b-1+2b+3)(8b-1-2b-3)=\=(10b+2)(6b-4)\3.(2a+b)^2-9(a+b)^2=(2a+b+3(a+b))(2a+b-3(a+b))=\=(2a+b+3a+3b)(2a+b-3a-3b)=(5a+4b)(-a-2b)\4.4(a-2b)^2-25(3a-b)^2=\=(2(a-2b)-5(3a-b))(2(a-2b)+5(3a-b))=\=(2a-4b-15a+5b))(2a-4b+15a-5b)=(-13a+b)(17a-9b) 1.(a+1)^2-(4-3a)^2=(a+1+4-3a)(a+1-(4-3a)=\=(5-2a)(a+1-4+3a)=(5-2a)(4a-3)\2.(8b-1)^2-(2b+3)^2=(8b-1+2b+3)(8b-1-2b-3)=\=(10b+2)(6b-4)\3.(2a+b)^2-9(a+b)^2=(2a+b+3(a+b))(2a+b-3(a+b))=\=(2a+b+3a+3b)(2a+b-3a-3b)=(5a+4b)(-a-2b)\4.4(a-2b)^2-25(3a-b)^2=\=(2(a-2b)-5(3a-b))(2(a-2b)+5(3a-b))=\=(2a-4b-15a+5b))(2a-4b+15a-5b)=(-13a+b)(17a-9b)](https://tex.z-dn.net/?f=1.%28a%2B1%29%5E2-%284-3a%29%5E2%3D%28a%2B1%2B4-3a%29%28a%2B1-%284-3a%29%3D%5C%3D%285-2a%29%28a%2B1-4%2B3a%29%3D%285-2a%29%284a-3%29%5C2.%288b-1%29%5E2-%282b%2B3%29%5E2%3D%288b-1%2B2b%2B3%29%288b-1-2b-3%29%3D%5C%3D%2810b%2B2%29%286b-4%29%5C3.%282a%2Bb%29%5E2-9%28a%2Bb%29%5E2%3D%282a%2Bb%2B3%28a%2Bb%29%29%282a%2Bb-3%28a%2Bb%29%29%3D%5C%3D%282a%2Bb%2B3a%2B3b%29%282a%2Bb-3a-3b%29%3D%285a%2B4b%29%28-a-2b%29%5C4.4%28a-2b%29%5E2-25%283a-b%29%5E2%3D%5C%3D%282%28a-2b%29-5%283a-b%29%29%282%28a-2b%29%2B5%283a-b%29%29%3D%5C%3D%282a-4b-15a%2B5b%29%29%282a-4b%2B15a-5b%29%3D%28-13a%2Bb%29%2817a-9b%29)
562.
![1)frac{a^2-16}{a^2-8a+16}=frac{(a-4)(a+4)}{(a-4)^2}=frac{a+4}{a-4}\\2)frac{4x^2-9}{2x+3}=frac{(2x-3)(2x+3)}{2x+3}=2x-3 1)frac{a^2-16}{a^2-8a+16}=frac{(a-4)(a+4)}{(a-4)^2}=frac{a+4}{a-4}\\2)frac{4x^2-9}{2x+3}=frac{(2x-3)(2x+3)}{2x+3}=2x-3](https://tex.z-dn.net/?f=1%29frac%7Ba%5E2-16%7D%7Ba%5E2-8a%2B16%7D%3Dfrac%7B%28a-4%29%28a%2B4%29%7D%7B%28a-4%29%5E2%7D%3Dfrac%7Ba%2B4%7D%7Ba-4%7D%5C%5C2%29frac%7B4x%5E2-9%7D%7B2x%2B3%7D%3Dfrac%7B%282x-3%29%282x%2B3%29%7D%7B2x%2B3%7D%3D2x-3)
561
562.
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