Question

1. Oblicz wartość liczbową wyrażenia:

3. Wyłącz wspólny czynnik przed nawias z sumy:

a) 4xy+32xy^2-12x^2y =

b) 15ab + 10ac

Answer 1

1/2a³-a²+8=1/2*(-4)³-(-4)²+8=-64-16+8=-72

 

6a³-3a²+2=6*(-1/3)³-3*(-1/3)²+2=6*(-1/27)-3*1/9+2=-2/9-1/3+2=

=-2/9-3/9+2=-13/9=-1 4/9

 

(5ab²-12xy)-(3xy-7ab²)=5ab²-12xy-3xy+7ab²=12ab²-15xy

 

(7+y)(10-y)=70-7y+10y-y²=70+3y-y²

 

-3(a-2ab)+a(6-5b)=-3a+6ab+6a-5ab=3a+ab

 

(5-2x)(5+2x)(2x+5)²=(25-4x²)(4x²+20x+25)=

=100x²+500x+625-16x⁴-80x³-100x²=500x+625-16x⁴-80x³

 

a)

4xy+32xy²-12x²y =4xy(1+8y-3x)

b)

15ab + 10ac=5a(3b+2c)

Answer 2

1/2a³-a²+8=1/2*(-4)³-(-4)²+8=-64-16+8=-72//2

 

6a³-3a²+2=6*(-1/3)³-3*(-1/3)²+2=6*(-1/27)-3*1/9+2=-2/9-1/3+2=

=-2/9-3/9+2=-13/9=-1 4/9

 

(5ab²-12xy)-(3xy-7ab²)=5ab²-12xy-3xy+7ab²=12ab²-15xy

 

(7+y)(10-y)=70-7y+10y-y²=70+3y-y²

 

-3(a-2ab)+a(6-5b)=-3a+6ab+6a-5ab=3a+ab

 

(5-2x)(5+2x)(2x+5)²=(25-4x²)(4x²+20x+25)=

=100x²+500x+625-16x⁴-80x³-100x²=500x+625-16x⁴-80x³

 

a)

4xy+32xy²-12x²y =4xy(1+8y-3x)

b)

15ab + 10ac=5a(3b+2c)