因式分解：①4(3p+5q)^2-9(2p-q)^2 ②2(x+y)^3-8(x+y) ）

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因式分解：①4(3p+5q)^2-9(2p-q)^2 ②2(x+y)^3-8(x+y) ）
因式分解：①4(3p+5q)^2-9(2p-q)^2 ②2(x+y)^3-8(x+y) ）

因式分解：①4(3p+5q)^2-9(2p-q)^2 ②2(x+y)^3-8(x+y) ）
：①4(3p+5q)^2-9(2p-q)^2
=[2(3p+5q)]²-[3(2p-q)]²
=(6p+10q)²-(6p-3q)²
=(6p+10q+6p-3q)(6p+10q-6p+3q)
=(12p+7q)*13q
=13p(12p+7q)
：①4(3p+5q)^2-9(2p-q)^2
=4(9p²+30pq+25q²)-9(4p²-4pq+q²)
=36p²+120pq+100q²-36p²+36pq-9q²
=156pq+91q²
=13q(12p+7q)
②2(x+y)^3-8(x+y)
=[2(x+y)][(x+y)²-4]
=2(x+y)(x+y+2)(x+y-2)

①4(3p+5q)^2-9(2p-q)^2
=[2(3p+5q)]^2-[3(2p-q)]^2
=[2(3p+5q)+3(2p-q)][2(3p+5q)-3(2p-q)]
=(6p+10q+6p-3q)(6p+10q-6p+3q)
=13q(12p+7q)
②2(x+y)^3-8(x+y)
=2(x+y)[(x+y)^2-4]
=2(x+y)(x+y+2)(x+y-2)

4(3p+5q)^2-9(2p-q)^2
=[2(3p+5q)+3(2p-q)][2(3p+5q)-3(2p-q)]
=(6p+10q+6p-3q)(6p+10q-6p+3q)
=13q(12p+7q)

.（2(x-y)^3-8(x-y）
=2(x-y)[(x-y)^2-4]
=2(x-y)(x-y-2）（x-y+2)

4(3p+5q)^2-9(2p-q)^2=(6p+10q)^2 - (6p-3q)^2=[(6p+10q)+(6p-3q)][(6p+10q)-(6p-3q)]
=13q(12p+7q)

2(x+y)^3-8(x+y)=(2x+2y)[(x+y)^2-4]=)=(2x+2y)(x+y-2)(x+y+2)

解4(3p+5q)^2-9(2p-q)^2
=[2(3p+5q)]^2-[3(2p-q)]^2
=[2(3p+5q)-3(2p-q)][2(3p+5q)+3(2p-q)]
=[6p+10q-6p+3q)][6p+10q+6p-3q]
=13q*（12p+7q）
2(x+y)³-8(x+y)
=2(x+y)[(x+y)²-4]
=2(x+y)(x+y+2)(x+y-2)

①4(3p+5q)²-9(2p-q)²
=[2(3p+5q)-3(2p-q)]²
=(13p)²
=169p²

②2(x+y)³-8(x+y)
=2(x+y)[(x+y)²-4]
=2(x+y)(x+y+2)(x+y-2)

<...

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①4(3p+5q)²-9(2p-q)²
=[2(3p+5q)-3(2p-q)]²
=(13p)²
=169p²

②2(x+y)³-8(x+y)
=2(x+y)[(x+y)²-4]
=2(x+y)(x+y+2)(x+y-2)

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