Evaluate the following using suitable identities: $(99)^{3}$

Use suitable identities to find the product: $\left(y^{2}+\frac{3}{2}\right)\left(y^{2}-\frac{3}{2}\right)$

Expand each of the following,using suitable identities: $(-2x + 3y + 2z)^2$

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer: $y^{2} + \sqrt{2}$

Verify whether the following is a zero of the polynomial indicated against it:
$p(x) = x^{2}, \, x = 0$

Find the value of the following polynomial at the indicated value of the variable: $p(t) = 4t^4 + 5t^3 - t^2 + 6$ at $t = a$.