Factorise: \[ \boldsymbol{a x}+\boldsymbol{a y}+\boldsymbol{b} \boldsymbol{x}+\boldsymbol{b} y=\ldots \ldots \] \( \begin{array}{c}\text { Type in your answer(s) } \\ \text { and press the mark } \\ \text { button. }\end{array} \) \( =(\square)(\square+\square) \)

To factorise the expression \( ax + ay + bx + by \), we can group the terms to identify common factors: \[ ax + bx + ay + by = (a + b)x + (a + b)y \] Now, we can take \( a + b \) as a common factor: \[ (a + b)(x + y) \] Therefore, the final factorised form is: \[ (a + b)(x + y) \] So, filling in the blanks: \[ =(a + b)(x + y) \]