Resolve the following into factors, 1. \( x^{2} y+x y^{2} \) 3. \( a^{3} b+a b^{3} \) 5. \( \quad 3 x^{3} y^{3}-\frac{3 x^{2} y^{2}}{4} \) 7. \( \quad 6 t \frac{\sqrt{x}}{a}+18 p \frac{\sqrt{x}}{a} \)

To factor the given expressions, let's break them down one by one! 1. \( x^{2} y + x y^{2} \) can be factored by taking out the common term \(xy\), giving us \( xy(x + y) \). 2. \( a^{3} b + a b^{3} \) can similarly be factored by pulling out the common factor \(ab\), resulting in \( ab(a^{2} + b^{2}) \). 3. For \( 3x^{3}y^{3} - \frac{3x^{2}y^{2}}{4} \), we can factor out \( \frac{3x^{2}y^{2}}{4} \), yielding \( \frac{3x^{2}y^{2}}{4}(4x y - 1) \). 4. Finally, in \( 6t \frac{\sqrt{x}}{a} + 18p \frac{\sqrt{x}}{a} \), we can factor out \( \frac{\sqrt{x}}{a} \), resulting in \( \frac{\sqrt{x}}{a}(6t + 18p) \). Now you have the factors for each expression! Keep practicing, and these will become second nature.