4(a-b)²-9(2a+b)²
=[2(a-b)]²-[3(2a+b)]²
=[2(a-b)+3(2a+b)][2(a-b)-3(2a+b)]
=(2a-2b+6a+3b)(2a-2b-6a-3b)
=-(8a-b)(4a+5b)
解:4(a-b)²-9(2a+b)²
=[2(a-b)]²-[3(2a+b)]²
=[2(a-b)+3(2a+b)][2(a-b)-3(2a+b)]
=(8a+b)(-4a-5b)
=-(8a+b)(4a+5b)
原式=-(32a^2+36ab+9b^2)=-(8a+b)(4a+5b)
就是一个十字相乘