Answer :
To simplify the expression
[tex]$$1.5 m(3 m + 2.6),$$[/tex]
we use the distributive property, which means multiplying the term outside the parentheses by each term inside.
1. Multiply [tex]$1.5m$[/tex] by [tex]$3m$[/tex]:
[tex]$$1.5m \cdot 3m = (1.5 \times 3) \, m^2 = 4.5m^2.$$[/tex]
2. Multiply [tex]$1.5m$[/tex] by [tex]$2.6$[/tex]:
[tex]$$1.5m \cdot 2.6 = (1.5 \times 2.6) \, m = 3.9m.$$[/tex]
3. Combine the two results to get the final simplified expression:
[tex]$$4.5m^2 + 3.9m.$$[/tex]
Thus, the simplified expression is
[tex]$$4.5m^2 + 3.9m.$$[/tex]
[tex]$$1.5 m(3 m + 2.6),$$[/tex]
we use the distributive property, which means multiplying the term outside the parentheses by each term inside.
1. Multiply [tex]$1.5m$[/tex] by [tex]$3m$[/tex]:
[tex]$$1.5m \cdot 3m = (1.5 \times 3) \, m^2 = 4.5m^2.$$[/tex]
2. Multiply [tex]$1.5m$[/tex] by [tex]$2.6$[/tex]:
[tex]$$1.5m \cdot 2.6 = (1.5 \times 2.6) \, m = 3.9m.$$[/tex]
3. Combine the two results to get the final simplified expression:
[tex]$$4.5m^2 + 3.9m.$$[/tex]
Thus, the simplified expression is
[tex]$$4.5m^2 + 3.9m.$$[/tex]
