利用公式“(x+a)(x+b)=x^2+(a+b)x+ab”计算(1)(x+1)(x+3);(2)(a-2)(a-5);(3)(a-2)(a+2);(4)(m+2)(m-3);(5)(ab-2)(ab+1);(6)(x-2y)(x+3y)
问题描述:
利用公式“(x+a)(x+b)=x^2+(a+b)x+ab”计算
(1)(x+1)(x+3);(2)(a-2)(a-5);(3)(a-2)(a+2);(4)(m+2)(m-3);(5)(ab-2)(ab+1);(6)(x-2y)(x+3y)
答
(1)(x+1)(x+3)
=x^2+4x+1
(2)(a-2)(a-5)
a^2-7a+10
(3)(a-2)(a+2)
a^2-4
(4)(m+2)(m-3)
m^2-m-6
(5)(ab-2)(ab+1)
a^2b^2-ab-2
(6)(x-2y)(x+3y)
x^2+y-6y^2
答
(1)(x+1)(x+3)=x²+4x+3(2)(a-2)(a-5)=a²-7a+10(3)(a-2)(a+2)=a²-4(4)(m+2)(m-3)=m²-m-6(5)(ab-2)(ab+1)=a²b²-ab-2(6)(x-2y)(x+3y)=x²+xy-6y...