因式分解:① (x+y)^2-(3x-2y)^2 ②9(2a+3b)^2-25(3a-b)^2 ③a^3+4a^2b+4ab^2 (每道题要过程,谢谢)
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![因式分解:① (x+y)^2-(3x-2y)^2 ②9(2a+3b)^2-25(3a-b)^2 ③a^3+4a^2b+4ab^2 (每道题要过程,谢谢)](/uploads/image/z/1107599-23-9.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%EF%BC%9A%E2%91%A0+%28x%2By%29%5E2-%283x-2y%29%5E2+%E2%91%A19%282a%2B3b%29%5E2-25%283a-b%29%5E2+%E2%91%A2a%5E3%2B4a%5E2b%2B4ab%5E2+%EF%BC%88%E6%AF%8F%E9%81%93%E9%A2%98%E8%A6%81%E8%BF%87%E7%A8%8B%2C%E8%B0%A2%E8%B0%A2%EF%BC%89)
因式分解:① (x+y)^2-(3x-2y)^2 ②9(2a+3b)^2-25(3a-b)^2 ③a^3+4a^2b+4ab^2 (每道题要过程,谢谢)
因式分解:① (x+y)^2-(3x-2y)^2 ②9(2a+3b)^2-25(3a-b)^2 ③a^3+4a^2b+4ab^2 (每道题要过程,谢谢)
因式分解:① (x+y)^2-(3x-2y)^2 ②9(2a+3b)^2-25(3a-b)^2 ③a^3+4a^2b+4ab^2 (每道题要过程,谢谢)
①(x+y)²-(3x-2y)²
=[(x+y)+(3x-2y)][(x+y)-(3x-2y)]
=(4x-y)(-2x+3y)
②9(2a+3b)²-25(3a-b)²
=[3(2a+3b)+5(3a-b)][3(2a+3b)-5(3a-b)]
=(21a+4b)(-9a+14b)
③a³+4a²b+4ab²
=a(a²+4ab+4b²)
=a(a+2b)²
如果不懂,请Hi我,祝学习愉快!
1、
原式=[(x+y)-(3x-2y)]*[(x+y)+(3x-2y)]=(3y-2x)(4x-y)
2、
原式=[3(2a+3b)-5(3a-b)]*[3(2a+3b)+5(3a-b)]=(14b-9a)(21a+4b)
3、
原式=a(a²+4ab+4b²)=a(a+2b)²
祝你开心!希望能帮到你,如果不懂,请追问,祝学习进步!O(∩_∩)O
① (x+y)^2-(3x-2y)^2
=x^2+2xy+y^2-(9x^2-12xy+4y^2)
=-8x^2+14xy-3y^2
=-(8x^2-14xy+3y^2)
=-(2x-3y)(4x-y)
②9(2a+3b)^2-25(3a-b)^2
=9(4a^2+12ab+9b^2)-25(9a^2-6ab+b^2)
=36a^2+108a...
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① (x+y)^2-(3x-2y)^2
=x^2+2xy+y^2-(9x^2-12xy+4y^2)
=-8x^2+14xy-3y^2
=-(8x^2-14xy+3y^2)
=-(2x-3y)(4x-y)
②9(2a+3b)^2-25(3a-b)^2
=9(4a^2+12ab+9b^2)-25(9a^2-6ab+b^2)
=36a^2+108ab+81b^2-225a^2+150ab-25b^2
=-189a^2+258ab+56b^2
=-(189a^2-258ab-56b^2)
=-(9a-14b)(21a+4b)
③a^3+4a^2b+4ab^2
=a*(a^2+4ab+4b^2)
=a*(a+2b)^2
祝你开心!希望能帮到你,如果不懂,请追问,祝学习进步!O(∩_∩)O
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a^3-4a^2b+4ab^2 =a(a^2-4ab+4b^2)=a(a-2b)^2 2:4y^2-(2z-x)^2=(2y+2z-x)(2y-2z+x) 3.:4x^2-y^2