Question : Factorize the following expression:
$p^3+27$

Option 1: $(p - 3)(p^2- 3p + 9)$

Option 2: $(p + 3)(p^2+ 3p + 9)$

Option 3: $(p + 3)(p^2- 3p + 9)$

Option 4: $(p + 3)(p^2- 3p - 9)$

Question : Simplify the following expression.
$(2 \times 7-5+9 \div 3) \div(4+2)^2 \times 2$

Option 1: $2$

Option 2: $\frac{3}{2}$

Option 3: $\frac{2}{3}$

Option 4: $1.5$

Question : Simplify the following expression.
$(4 x + 1)^2 - (4 x + 3)(4 x - 1)$

Option 1: $(4 x + 1)$

Option 2: $4$

Option 3: $(4x- 3)$

Option 4: $4x$

Question : Simplify the following expression.
$(3x+5)^2+(3x-5)^2$

Option 1: $500x$

Option 2: $450x$

Option 3: $9x^2+50$

Option 4: $2\left(9 x^2+25\right)$

Question : Find the value of the following expression.
$12^3+(-8)^3+(-4)^3$

Option 1: 952

Option 2: 1152

Option 3: 1052

Option 4: 852

Question : Find the value of the given expression.
3 – (– 6) {– 2 – 9 – 3} ÷ 7{1 + (– 2) (– 1)}

Option 1: –1

Option 2: 15

Option 3: 7

Option 4: 1