1:
5+3*7 : Write the Expression : Given
5+(21) : Multiply 3*7 : Simplify (Order of operations)
26 : Combine terms : Simplify
2:
32x+5-10x=7x-15 : Write the Equation : Given
22x+5=7x-15 : Combine like terms : Simplify
22x+5-5=7x-15-5 : Subtract 5 from each side : Subtraction Property of Equality
22x=7x-20 : Combine terms : Simplify
22x-7x=7x-7x-20 : Subtract 7x from each side : Subtraction Property of Equality
15x=-20 : Combine terms : Simplify
15x/15=-20/15 : Divide each side by 15 : Division Property of Equality
x=(-)4/3 : Combine terms : Simplify
3: (Assuming x and y are unknowns)
(x+y)(x+y) : Write the Expression : Given
x^2+xy+yx+y^2 : Multiply : Distributive Property of Multiplication
x^2+xy+yx+y^2=x^2+xy+xy+y^2 : xy+yx=xy+xy : Reflexive Property of Equality
x^2+2xy+y^2 : Combine like terms : Simplify
4: (Assuming x and y are unknowns)
(x+y)(x-y) : Write the Expression : Given
x^2-xy+xy-y^2 : Multiply : Distributive Property of Multiplication
x^2-y^2+0 : Combine like terms (-xy+xy=0) : Simplify
x^2-y^2 : Combine terms: Simplify