Place the indicated product in the proper location on the grid.

(4x^3 + 7y^3z^4)^2

_ _ _ _ _ _ _ x _ _ _ z _ _ _ _ _ _ z _

Question

Place the indicated product in the proper location on the grid.

(4x^3 + 7y^3z^4)^2

_ _ _ _ _ _ _ x _ _ _ z _ _ _ _ _ _ z _

zehanz · Answer

It looks terribly complicated, but in the end it's just the form:$$(a+b)^2=a^2+2ab+b^2 $$So:$$(4x^3 + 7y^3z^4)^2=(4x^3)^2+2*4x^3*7y^3z^4+(7y^3z^4)^2$$
I'm afraid I don't quite get what this "grid" of yours has to do with it (shouldn't the middle letter be a "y"?), but if I work it out just a little more, I get:$$16x^6+56x^3y^3z^4+49y^6z^8$$ That's all I can make of it...

anonymous · Answer

16x^6 + 2412x^3 y^7 z^4 + 9y^14 z^8

I figured it out. However, I'll give you best response for helping!

zehanz · Answer

Glad to be of help!