1.8ax+8a 2.m⁶+m⁷ 3.18y⁵+12y⁴ 4.36mn⁵+63m²n⁶

To simplify the expressions you've provided, let's break each one down step by step. 1. **Expression: \( 1.8ax + 8a \)** We can factor out the common term \( a \): \[ a(1.8x + 8) \] 2. **Expression: \( m^6 + m^7 \)** We can factor out the common term \( m^6 \): \[ m^6(1 + m) \] 3. **Expression: \( 18y^5 + 12y^4 \)** First, find the GCD of the coefficients \( 18 \) and \( 12 \), which is \( 6 \), and then factor out \( 6y^4 \): \[ 6y^4(3y + 2) \] 4. **Expression: \( 36mn^5 + 63m^2n^6 \)** The GCD of the coefficients \( 36 \) and \( 63 \) is \( 9 \), and the common variable factors are \( m \) (the lowest power is \( 1 \)) and \( n^5 \) (the lowest power is \( 5 \)). So, we factor out \( 9mn^5 \): \[ 9mn^5(4 + 7m) \] In summary, the simplified forms are: 1. \( a(1.8x + 8) \) 2. \( m^6(1 + m) \) 3. \( 6y^4(3y + 2) \) 4. \( 9mn^5(4 + 7m) \)