Question : If $x + y = 1$, then what is the value of $x^3+ 3xy + y^3$?
Option 1: –1
Option 2: 1
Option 3: 0
Option 4: 2
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 1
Solution : Given: $x + y = 1$------------------ (equation 1) We know the algebraic identity, $(x+y)^3=x^3 + y^3+3xy(x+y)$. Substitute the value from equation (1) in the above formula, $(1)^3=x^3 + y^3+3xy\times(1)$ ⇒ $x^3 + y^3+3xy=1$ Hence, the correct answer is 1.
Candidates can download this ebook to know all about SSC CGL.
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Question : If $x+y+z=0$ and $x^2+y^2+z^2=40$, then what is the value of $x y+y z+z x?$
Question : If $(x+y)^2=xy+1$ and $x^3-y^3=1$, what is the value of $(x-y)$?
Question : If $x+y+z=0$, then what is the value of $\frac{x^2}{(y z)}+\frac{y^2}{(x z)}+\frac{z^2}{(x y)}$?
Question : If $x^{2}+y^{2}+2x+1=0$, then the value of $x^{31}+y^{35}$ is:
Question : If $\frac{(x+y)}{z}=2$, then what is the value of $[\frac{y}{(y-z)}+\frac{x}{(x-z)}]?$
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile