把下列各式分解因式:① 16x^2-49y^2② 4+12(x-y)+9(x-y)^2③ x^3-9x④ a^4-2a^2 b^2+b^4⑤ (a^2-a)^2-(a-1)^2⑥ 16x^4-1填空:① 3^2004 -4*3^2003 +10*3^2002=_______② 3^n+2 -4*3^n+1 +10*3^n=_______还有一题分解因式的:16-(2a+3b
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![把下列各式分解因式:① 16x^2-49y^2② 4+12(x-y)+9(x-y)^2③ x^3-9x④ a^4-2a^2 b^2+b^4⑤ (a^2-a)^2-(a-1)^2⑥ 16x^4-1填空:① 3^2004 -4*3^2003 +10*3^2002=_______② 3^n+2 -4*3^n+1 +10*3^n=_______还有一题分解因式的:16-(2a+3b](/uploads/image/z/1649091-3-1.jpg?t=%E6%8A%8A%E4%B8%8B%E5%88%97%E5%90%84%E5%BC%8F%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F%EF%BC%9A%E2%91%A0+16x%5E2-49y%5E2%E2%91%A1+4%2B12%28x-y%29%2B9%28x-y%29%5E2%E2%91%A2+x%5E3-9x%E2%91%A3+a%5E4-2a%5E2+b%5E2%2Bb%5E4%E2%91%A4+%28a%5E2-a%29%5E2-%28a-1%29%5E2%E2%91%A5+16x%5E4-1%E5%A1%AB%E7%A9%BA%EF%BC%9A%E2%91%A0+3%5E2004+-4%2A3%5E2003+%2B10%2A3%5E2002%3D_______%E2%91%A1+3%5En%2B2+-4%2A3%5En%2B1+%2B10%2A3%5En%3D_______%E8%BF%98%E6%9C%89%E4%B8%80%E9%A2%98%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F%E7%9A%84%EF%BC%9A16-%282a%2B3b)
把下列各式分解因式:① 16x^2-49y^2② 4+12(x-y)+9(x-y)^2③ x^3-9x④ a^4-2a^2 b^2+b^4⑤ (a^2-a)^2-(a-1)^2⑥ 16x^4-1填空:① 3^2004 -4*3^2003 +10*3^2002=_______② 3^n+2 -4*3^n+1 +10*3^n=_______还有一题分解因式的:16-(2a+3b
把下列各式分解因式:
① 16x^2-49y^2
② 4+12(x-y)+9(x-y)^2
③ x^3-9x
④ a^4-2a^2 b^2+b^4
⑤ (a^2-a)^2-(a-1)^2
⑥ 16x^4-1
填空:
① 3^2004 -4*3^2003 +10*3^2002=_______
② 3^n+2 -4*3^n+1 +10*3^n=_______
还有一题分解因式的:
16-(2a+3b)^2
把下列各式分解因式:① 16x^2-49y^2② 4+12(x-y)+9(x-y)^2③ x^3-9x④ a^4-2a^2 b^2+b^4⑤ (a^2-a)^2-(a-1)^2⑥ 16x^4-1填空:① 3^2004 -4*3^2003 +10*3^2002=_______② 3^n+2 -4*3^n+1 +10*3^n=_______还有一题分解因式的:16-(2a+3b
① 16x^2-49y^2
=(4x+7y)(4x-7y)
② 4+12(x-y)+9(x-y)^2
=(3x-3y+2)
③ x^3-9x
=x(x^2-9)
=x(x+3)(x-3)
④ a^4-2a^2 b^2+b^4
=(a^2-b^2)^2
=[(a+b)(a-b)]^2
=(a+b)^2(a-b)^2
⑤ (a^2-a)^2-(a-1)^2
=[a(a-1)]^2-(a-1)^2
=a^2(a-1)^2-(a-1)^2
=(a-1)^2(a^2-1)
=(a-1)^2(a+1)(a-1)
=(a-1)^3(a+1)
⑥ 16x^4-1
=(4x^2+1)(4x^2-1)
=(4x^2+1)(2x+1)(2x-1)
① 3^2004 -4*3^2003 +10*3^2002=_______
=3^2002(3^2-4*3^1+10)
=3^2002(9-12+10)
=7*3^2002
② 3^n+2 -4*3^n+1 +10*3^n=_______
=3^n(9-12+10)
=7*3^n
① 16x^2-49y^2
原式=(4x)²-(7y)²
=(4x-7y)(4x+7y)