How To Questions & Answers | Page 6

The expression $10x^2y + 25x^2$ is equivalent to $\boxed{5x^2 (2y + 5)}$.

The factorization of $x^2 + 10x + 21$ is $\boxed{(x + 3)(x + 7)}$.

The equivalent multiplication expression is $\frac{1}{x}$.

The simplest form of the expression $(\sqrt{3} - \sqrt{6})(\sqrt{3} + \sqrt{6})$ is $-3$.

The expression $6^{\frac{7}{12}}$ in radical form is $\sqrt[12]{6^7}$.

The value of $4! \cdot 3!$ is $\mathbf{144}$.

The subtraction expression that has the difference 1 + 4i is $(3 + 5i) - (2 + i)$.

The equivalent expression to $3x^2 - 7$ is $(10x^2 - 4) - (7x^2 + 3)$.