因式分解(p+2q)^2-2(p+2q)(p+3q)+(p+3q)(3q-p)
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因式分解(p+2q)^2-2(p+2q)(p+3q)+(p+3q)(3q-p)
原式=(p+2q)²-(p+2q)(p+3q)-(p+2q)(p+3q)+(-1)(p+3q)(p-3q)
=(p+2q)【(p+2q)-(p+3q)】-(p+3q)【(p+2q)+(p-3q)】
=(p+2q)【-q】-(p+3q)【2p-q】
=-pq-2q²-2p²+pq-6pq+3q²
=q²-6pq-2p²
=(q-3p)²-11p²
=(q-3p+√11p)(q-3p-√11p);
=(p+2q)【(p+2q)-(p+3q)】-(p+3q)【(p+2q)+(p-3q)】
=(p+2q)【-q】-(p+3q)【2p-q】
=-pq-2q²-2p²+pq-6pq+3q²
=q²-6pq-2p²
=(q-3p)²-11p²
=(q-3p+√11p)(q-3p-√11p);
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