Question

因式分解简便计算与普通计算(特急！！！）

65的平方+2*65+35的平方
x(a-x)(a-y)-y(x-a)(y-a)
65的平方+2*65*35+35的平方

Answer 1

65的平方+2*65+35的平方
65^+2*65+35^
=65^+2*65*35+35^-2*65*35+2*65
=(65+35)^-2*65(35-1)
=100^-130*34
=10000-4420
=5580

x(a-x)(a-y)-y(x-a)(y-a)
=x(a-x)(a-y)-y[-(a-x)][-(a-y)]
=x(a-x)(a-y)-y(a-x)(a-y)
=(a-x)(a-y)(x-y)

Answer 2

(65+1)2

Answer 3

65^2+2*65*35+35^2
=(65+35)^2
=(65+35)*(65+35)
=100*100
=10000

x(a-x)(a-y)-y(x-a)(y-a)
=(x-a)[x*(-1)(a-y)-y(y-a)]
=(x-a)(y-a)[x*(-1)*(-1)-y]
=(x-a)(y-a)(x-y)

Answer 4

1.
65的平方+2*65*35+35的平方
=(65+35)的平方
=(65+35)*(65+35)
=100*100
=10000
2.
x(a-x)(a-y)-y(x-a)(y-a)
=(x-a)[x*(-1)(a-y)-y(y-a)]
=(x-a)(y-a)[x*(-1)*(-1)-y]
=(x-a)(y-a)(x-y)