문자와 식 전체 문제

Subtract: $({c}^{2}-4c+7)$ from $(7{c}^{2}-5c+3)$.

Subtract: $(5{z}^{2}-6z-2)$ from $(7{z}^{2}+6z-4)$.

Subtract: $({x}^{2}-5x-8)$ from $(6{x}^{2}+9x-1)$.

Find the sum: $({u}^{2}-6uv+5{v}^{2})+(3{u}^{2}+2uv)$.

Find the sum: $(3{x}^{2}-4xy+5{y}^{2})+(2{x}^{2}-xy)$.

Find the sum: $(2{x}^{2}-3xy-2{y}^{2})+(5{x}^{2}-3xy)$.

Find the difference: $({p}^{2}+{q}^{2})-({p}^{2}+10pq-2{q}^{2})$.

Find the difference: $({a}^{2}+{b}^{2})-({a}^{2}+5ab-6{b}^{2})$.

Find the difference: $({m}^{2}+{n}^{2})-({m}^{2}-7mn-3{n}^{2})$.

Simplify: $({a}^{3}-{a}^{2}b)-(a{b}^{2}+{b}^{3})+({a}^{2}b+a{b}^{2})$.

Simplify: $({x}^{3}-{x}^{2}y)-(x{y}^{2}+{y}^{3})+({x}^{2}y+x{y}^{2})$.

Simplify: $({p}^{3}-{p}^{2}q)+(p{q}^{2}+{q}^{3})-({p}^{2}q+p{q}^{2})$.

Evaluate $5{x}^{2}-8x+4$ when

• ⓐ $x=4$
• ⓑ $x=-2$
• ⓒ $x=0$

Evaluate: $3{x}^{2}+2x-15$ when

• ⓐ $x=3$
• ⓑ $x=-5$
• ⓒ $x=0$

Evaluate: $5{z}^{2}-z-4$ when

• ⓐ $z=-2$
• ⓑ $z=0$
• ⓒ $z=2$

The polynomial $-16{t}^{2}+250$ gives the height of a ball $t$ seconds after it is dropped from a 250 foot tall building. Find the height after $t=2$ seconds.

The polynomial $-16{t}^{2}+250$ gives the height of a ball $t$ seconds after it is dropped from a 250-foot tall building. Find the height after $t=0$ seconds.

The polynomial $-16{t}^{2}+250$ gives the height of a ball $t$ seconds after it is dropped from a 250-foot tall building. Find the height after $t=3$ seconds.

The polynomial $6{x}^{2}+15xy$ gives the cost, in dollars, of producing a rectangular container whose top and bottom are squares with side x feet and sides of height y feet. Find the cost of producing a box with $x=4$ feet and $y=6$ feet.

The polynomial $6{x}^{2}+15xy$ gives the cost, in dollars, of producing a rectangular container whose top and bottom are squares with side x feet and sides of height y feet. Find the cost of producing a box with $x=6$ feet and $y=4$ feet.