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Multiply (2x+4)^2.

Multiply (2x+4)^2.

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Jennifer T. | Jennifer T. - Math, Science and Reading Tutor!Jennifer T. - Math, Science and Reading ...

(2x+4)2 = (2x+4)(2x+4)

Use the FOIL method: First, Outer, Inner, Last:

First: 2x•2x = 4x2

Outer: 2x•4 = 8x

Inner: 2x•4 = 8x

Last: 4•4 = 16


Which gives you: 4x2+8x+8x+16

Combine like terms: 4x2+16x+16

Hope this helps!

Vanessa B. | Experienced tutor for all your Math and Geology needs (BS and MS)Experienced tutor for all your Math and ...
4.9 4.9 (70 lesson ratings) (70)
Hi Monica, You need to realize that this expression means (2x+4)(2x+4). This is what the word 'squared' means. So, we have two binomials that are being multiplied. This calls for the FOIL method! :) FOIL = first, outer, inner, last This is the order at which we need to multiply the binomials. So, first: 2x•2x = 4x^2 Then outer:2x•4 =8x Then inner:4•2x = 8x Then last: 4•4 = 16 So we have this expression: 4x^2+8x+8x+16 We need to combine like terms to simplify. So, the above expression becomes 4x^2 + 16x +16 Easy right? :D Best of luck!
Sam M. | Mr. Gets ResultsMr. Gets Results
4.8 4.8 (119 lesson ratings) (119)

It's 4x2 + 16x + 16