Q2: Find each of the following products. a) 8 × 2h = b) 3h × 4h = c) (-5h) × 6h = d) (-10h) × (-7h) =
Answer (1)
To solve the given mathematical expressions, we need to understand how to multiply both coefficients and variables.
a) 8 × 2 h
To solve this, multiply the coefficient of h by the constant number.
8 × 2 h = 16 h
b) 3 h × 4 h
When multiplying expressions with the same variable, multiply both the coefficients and the variables. Recall that h 1 × h 1 = h 1 + 1 = h 2 .
3 × 4 × h × h = 12 h 2
c) ( − 5 h ) × 6 h
Use the same rule for multiplication and remember to handle the negative sign correctly:
( − 5 ) × 6 × h × h = − 30 h 2
d) ( − 10 h ) × ( − 7 h )
Multiply the negative coefficients together—note that multiplying two negative numbers gives a positive result:
( − 10 ) × ( − 7 ) × h × h = 70 h 2
This completes the multiplication of each expression.
