How do you find the product of $(x + 7)²$ ?

Question

52620 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-05-27T18:05:55

FOIL

FOIL stands for First Outside Inside Last

$(x+7)^2$

This can be rewritten as:

$(x+7)(x+7)$

Multiply the first terms in each expression.

$(color(blue)(x)+7)(color(blue)(x)+7)$

$color(blue)(x*x = x^2)$

Now we move to outside . multiply the outside terms of each expression.

$(color(orange)(x^2)+7)(x^2+color(orange)(7))$

$color(orange)(x^2 * 7 = 7x^2)$

Next up are the inside terms. Multiply these from each expression.

$(x^2 + (color(green)(7))) (color(green)(x^2) + 7)$

$color(green)(7 * x^2 = 7x^2$

Finally, we have the last terms. Multiply the last terms from each expression.

$(x^2 + color(red)(7))(x^2 + color(red)(7))$

$color(red)(7*7 = 49$

Now combine all of the solutions that we have come up with.

$color(blue)(x^2) + color(orange)(7x^2) + color(green)(7x^2)+ color(red)(49)$

Combine the like terms in between.

$x^2 + 14x + 49$

How do you find the product of (x + 7)² (x + 7)² ?