Question

(7p+g)(49p^ 2 -7pg+g^ 2 )

Answer 1

$(7p+g)(49p^2-7pg+g^2)=7p(49p^2-7pg+g^2)+g(49p^2-7pg+g^2)=343p^3-49gp^2+7g^2p+49gp^2-7g^2p+g^3=343p^3+g^3$

Answer 2

To expand the expression (7p + g)(49p^2 - 7pg + g^2), you can use the distributive property (FOIL method). FOIL stands for First, Outer, Inner, Last, which helps you multiply each term in the first expression by each term in the second expression. Here's how it's done:

(7p + g)(49p^2 - 7pg + g^2)

First: (7p * 49p^2) = 343p^3 Outer: (7p * -7pg) = -49p^2g Inner: (g * 49p^2) = 49p^2g Last: (g * g^2) = g^3

Now, combine these terms:

343p^3 - 49p^2g + 49p^2g + g^3

Notice that the terms -49p^2g and 49p^2g cancel each other out because they have equal magnitude but opposite signs.

So, the simplified expression is:

343p^3 + g^3