Question

Uprość wyrażenia

a) (2y-3)²-(3y-2)(4y+2)

b) (5y+1)(1-5y)-(1+5y)²

c) (x²-3)²+(3+x²)²-(x²-1)²

Answer 1

a)  (2y-3)²-(3y-2)(4y+2)=4y²-12y+9-(12y²+6y-8y-4)=4y²-12y+9-12y²+2y+4=-8y²-10y+15

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

c) (x²-3)²+(3+x²)²-(x²-1)²=x⁴-6x²+9+9+6x²+x⁴-x⁴+2x²-1=x⁴+2x²+17