Factorise the following expressions. (i) `p^2 + 6p +8` (ii) `q^2-10q+21` (iii) `p^2+6p-16`
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Let's factorise the given expressions step by step.
### (i) Factorise \( p^2 + 6p + 8 \)
1. **Identify the coefficients**: The expression is in the form \( ax^2 + bx + c \), where \( a = 1 \), \( b = 6 \), and \( c = 8 \).
2. **Find two numbers that multiply to \( c \) (8) and add to \( b \) (6)**:
- The two numbers are 4 and 2 because \( 4 \times 2 = 8 \) and \( 4 + 2 = 6 \).
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