1..小刚在解数学题时,由于粗心,把原题中“两个多项式A和B,其中B=4x²-5x-6,试求A+B”错误地看成A-B,结果求出的答案是-7x²+10x+12,请你帮他纠错,正确地算出A+B的答案.
A+B
=A-B+2B
=(-7x^2+10x+12)+2(4x^2-5x-6)
=-7x^2+10x+12+8x^2-10x-12
=x^2
2.若a²+ab=20,ab-b²= -13,求a²+b²及a²+2ab-b²的值
a^2+b^2
=(a^2+ab)-(ab-b^2)
=20-(-13)
=33
a^2+2ab-b^2
=(a^2+ab)+(ab-b^2)
=20+(-13)=7