Question

1) Wykonaj mnożenie i zredukuj wyrazy podobne.

a) (2x²+1)(x²+3)=

b) (3x³+2)(x³-4)=

c) (3a²-b)(a²-2b)=

d) -4(a-2b)(2b-a)=

e) (2x²-3y²)(2x²+3y²)=

f) -3(x-2y²)(y-x²)=

2) Wykonaj działania.

a) -5x²+3x(x-1)+(2x-1)(x+3)=

b) 3y²-2x(x+2y)-(x-y)(2x+y)=

c) -3x(x-1)(x-2)-9x²=

d) (a+2c)(a-c+2)-ac=

prosze o pomoc dam najjj !:))

Answer 1

zad 1

a) (2x²+1)(x²+3)=2x⁴+x²+6x²+3=2x⁴+7x²+3

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b) (3x³+2)(x³-4)=3x⁶+2x³-12x³-8=3x⁶-10x³-8

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c) (3a²-b)(a²-2b)=3a⁴-a²b-6a²b+2b²=3a⁴-7a²b+2b²

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d) -4(a-2b)(2b-a)=-4*(-1)(2b-a)(2b-a)=4*(4b²-a²)=16b²-4a²

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e) (2x²-3y²)(2x²+3y²)=4x⁴-9y⁴

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f) -3(x-2y²)(y-x²)=-3(xy-2y³-x³+2x²y²)=6y³+3x³-6x²y²-3xy

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zad 2

a) -5x²+3x(x-1)+(2x-1)(x+3)=

=-5x²+3x²-3x+(2x²+5x-3)=

=-2x²-3x+2x²+5x-3=

=2x-3

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b) 3y²-2x(x+2y)-(x-y)(2x+y)=

=3y²-2x²-4xy-(2x²-xy-y²)=

=3y²-2x²-4xy-2x²+xy+y²=

=4y²-4x²-3xy

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c) -3x(x-1)(x-2)-9x²=

=-3x(x²-3x+2)-9x²=

=-3x³+9x²-6x-9x²=

=-3x³-6x

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d) (a+2c)(a-c+2)-ac=

=a²+2ac-ac-2c²+2a+4c-ac=

=a²-2c²+2a+4c