问题
填空题
已知A=a2-ab,B=ab+b2,则A+B=______,A-B=______,3A-2B=______.
答案
已知A=a2-ab,B=ab+b2
∴A+B=a2-ab+ab+b2=a2+b2.
A-B=a2-ab-(ab+b2)
=a2-ab-ab-b2=a2-2ab-b2.
3A-2B=3(a2-ab)-2(ab+b2)
=3a2-3ab-2ab-2b2=3a2-5ab-2b2.
已知A=a2-ab,B=ab+b2,则A+B=______,A-B=______,3A-2B=______.
已知A=a2-ab,B=ab+b2
∴A+B=a2-ab+ab+b2=a2+b2.
A-B=a2-ab-(ab+b2)
=a2-ab-ab-b2=a2-2ab-b2.
3A-2B=3(a2-ab)-2(ab+b2)
=3a2-3ab-2ab-2b2=3a2-5ab-2b2.