Question

Uprość wyrażenia:

a.(5y+1)(1-5y)-(1-5y)2(do kwadratu)=

b.

c.

Answer 1

a)

(5y+1)(1-5y)-(1-5y)²=5y-25y²+1-5y-(1-10y+25y²)=-25y²+1-1+10y-25y²=-50y²+10y

b)

(x²-3)²+(3+x²)²-(x²-1)²=x⁴-6x²+9+9+6x²+x⁴-(x⁴-2x²+1)=2x⁴+18-x⁴+2x²-1=

=x⁴+2x²+17

c)

(x²-2)(x²+2)-(4-x²)(x²+4)=x⁴-4-(16-x⁴)=x⁴-4-16+x⁴=2x⁴-20