Algebraic Expre...

By how much is $$a^{4} - 4a^{2}b^{2} + b^{4}$$ more than $$a^{4} - 8a^{2}b^{2} + b^{4}$$?

The sum of $$3x+4y-5z,\ 5y+2x,\ 7x-8y$$ and $$4x-9y-5z$$ is

Simplify combining like terms :

add  $$2x$$ and $$3x$$:-

What must be added to $$5x^{3}-2x^{2}+6x+7$$ to make the sum $$x^{3}+3x^{2}-x+1$$?

What must be added to $${ 7z }^{ 3 }-{ 11z }^{ 2 }-129$$ to get $${ 5z }^{ 2 }+7z-92$$ ?

From the sum of $$z^3+3z^2+5z+8$$ and $$4z^3+2z^2-7z-2$$ subtract $$2z^3-3z^2+z-4$$.

Subtract the second expression from the first: 

Simplify: $$\displaystyle { 2x }^{ 2 }y-{ 3xy }^{ 2 }+{ 2x }^{ 2 }y-{ 4x }^{ 2 }y+{ 2xy }^{ 2 }$$

Subtract $$4a -7ab + 3b + 12$$ from $$12a-  9ab + 5b-  3$$.