Question What is a simplified eCarlotta thinks that 3y + 5y3 is the same as 8y4. Which statement shows that it is NOT the same?Xpression for (x + y) – (x – y)?

Questions: (a) What is a simplified expression for (x + y) – (x – y)? (b) Carlotta thinks that [tex]3y + 5y^3[/tex] is the same as [tex]8y^4[/tex]. Which statement shows that it is NOT the same? Answer: [tex](x + y) – (x – y) =2y[/tex] [tex]3y + 5y^3 \ne 8y^4[/tex] Step-by-step explanation: Solving (a): Given [tex](x + y) – (x – y)[/tex] Required Simplify [tex](x + y) – (x – y)[/tex] Open brackets [tex](x + y) – (x – y) = x + y – x + y[/tex] Collect Like Terms [tex](x + y) – (x – y) = x – x+ y + y[/tex] [tex](x + y) – (x – y) = y + y[/tex] [tex](x + y) – (x – y) =2y[/tex] Solving (b): Given [tex]3y + 5y^3[/tex] and [tex]8y^4[/tex] Required Which expression shows they are not the same The expression that shows this is: [tex]3y + 5y^3 \ne 8y^4[/tex] Take for instance; y=2 Substitute 2 for y in [tex]3y + 5y^3 \ne 8y^4[/tex] [tex]3*2 + 5*2^3 \ne 8*2^4[/tex] Evaluate all exponents [tex]9 + 5*8 \ne 8*16[/tex] [tex]9 + 40 \ne 128[/tex] [tex]49 \ne 128[/tex] The above expression supports [tex]3y + 5y^3 \ne 8y^4[/tex] Log in to Reply

Questions:(a) What is a simplified expression for (x + y) – (x – y)?

(b) Carlotta thinks that [tex]3y + 5y^3[/tex] is the same as [tex]8y^4[/tex]. Which statement shows that it is NOT the same?

Answer:[tex](x + y) – (x – y) =2y[/tex]

[tex]3y + 5y^3 \ne 8y^4[/tex]

Step-by-step explanation:Solving (a):Given[tex](x + y) – (x – y)[/tex]

RequiredSimplify

[tex](x + y) – (x – y)[/tex]

Open brackets[tex](x + y) – (x – y) = x + y – x + y[/tex]

Collect Like Terms[tex](x + y) – (x – y) = x – x+ y + y[/tex]

[tex](x + y) – (x – y) = y + y[/tex]

[tex](x + y) – (x – y) =2y[/tex]

Solving (b):Given[tex]3y + 5y^3[/tex]

and[tex]8y^4[/tex]RequiredWhich expression shows they are not the same

The expression that shows this is:[tex]3y + 5y^3 \ne 8y^4[/tex]

Take for instance; y=2Substitute 2 for y in[tex]3y + 5y^3 \ne 8y^4[/tex][tex]3*2 + 5*2^3 \ne 8*2^4[/tex]

Evaluate all exponents[tex]9 + 5*8 \ne 8*16[/tex]

[tex]9 + 40 \ne 128[/tex]

[tex]49 \ne 128[/tex]

The above expression supports[tex]3y + 5y^3 \ne 8y^4[/tex]