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