Asked by rebecca geissler on Apr 25, 2024

Use the Distributive Property to simplify 3(7x+xy+y2) 3 \left( 7 x + x y + y ^ { 2 } \right) 3(7x+xy+y2) .

A) 21x+7xy+7y221 x + 7 x y + 7 y ^ { 2 }21x+7xy+7y2
B) 21x+3xy+y221 x + 3 x y + y ^ { 2 }21x+3xy+y2
C) 21x+xy+y221 x + x y + y ^ { 2 }21x+xy+y2
D) 21x+3x3y+3y221 x + 3 x 3 y + 3 y ^ { 2 }21x+3x3y+3y2
E) 21x+3xy+3y221 x + 3 x y + 3 y ^ { 2 }21x+3xy+3y2

Distributive Property

A property indicating that multiplying a sum by a number gives the same result as multiplying each addend by the number and then adding the products.

  • Implement the distributive principle to reduce expressions to simpler forms.