Algebraic Expre...

From $$\displaystyle 8-y+{ 2y }^{ 2 }$$ take away $$\displaystyle \left( { y }^{ 2 }-7-2y \right) $$.

What should be subtracted from $$2a+6b-5$$ to get $$-3a+2b+3$$?

Find the sum of $$\displaystyle { x }^{ 2 }-{ 2y }^{ 2 },{ 2x }^{ 2 }-4xy+{ 5y }^{ 2 },{ 6y }^{ 2 }+11xy-{ 6x }^{ 2 }$$

What should be added to $$5x^2+2xy+y^2$$ to get $$3x^2+4xy$$?

Simplify
$$\displaystyle \left ( a^{3}-2a^{2}+4a-5 \right )-\left ( -a^{3}-8a+2a^{2}+5 \right )$$

Subtract $$(5x^{2}-5x-7)$$ from the sum of $$(x^{2}-3),\:(5-4x)$$ and $$(9+4x^{2})$$

Simplify : $$\displaystyle 5x-\left[ 4x-\left\{ \left( 2x-5 \right) -3\left( 3x-4 \right)  \right\}  \right] $$

$$\displaystyle -a-[a+\{ { a+b-2a-(a-2b)\}  }-b]$$ is equal to

By how much is $$\displaystyle x^{4}-4x^{2}y^{2}+y^{4}$$ less than $$\displaystyle x^{4}+8x^{2}y^{2}+y^{4}$$?

Subtract the sum of $$\displaystyle \left( { 5x }^{ 2 }-7x+4 \right) $$ and $$\displaystyle \left( 2x-{ 5x }^{ 3 }+1 \right) $$ from $$\displaystyle \left( { 3x }^{ 2 }-1+5x \right) $$.