(2m2+4)(m-3)
Apply the distributive property.
2m2(m-3)+4(m-3)
Apply the distributive property.
2m2m+2m2⋅-3+4(m-3)
Apply the distributive property.
2m2m+2m2⋅-3+4m+4⋅-3
2m2m+2m2⋅-3+4m+4⋅-3
Multiply m2 by m by adding the exponents.
Move m.
2(m⋅m2)+2m2⋅-3+4m+4⋅-3
Multiply m by m2.
Raise m to the power of 1.
2(m1m2)+2m2⋅-3+4m+4⋅-3
Use the power rule aman=am+n to combine exponents.
2m1+2+2m2⋅-3+4m+4⋅-3
2m1+2+2m2⋅-3+4m+4⋅-3
Add 1 and 2.
2m3+2m2⋅-3+4m+4⋅-3
2m3+2m2⋅-3+4m+4⋅-3
Multiply -3 by 2.
2m3-6m2+4m+4⋅-3
Multiply 4 by -3.
2m3-6m2+4m-12
2m3-6m2+4m-12
Multiply (2m^2+4)(m-3)