Factorise the following using appropriate identities : $4 y^{2}-4 y+1$

Determine which of the following polynomials has $(x + 1)$ as a factor: $x^{3} + x^{2} + x + 1$.

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer: $4 x^{2}-3 x+7$.

Write the following cube in expanded form: $\left[x-\frac{2}{3} y\right]^{3}$

Find $p(0)$,$p(1)$,and $p(2)$ for the following polynomial: $p(x) = (x - 1)(x + 1)$.

Write the following cube in the expanded form: $(3a + 4b)^3$