How do you multiply ${(z + 8)}^{2}$ $(z+8)^2$ ?

Question

How do you multiply ${(z + 8)}^{2}$ $(z+8)^2$ ?

1 Answer

Impact of this question

1756 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-03-09T14:13:57

$z^{2} + 16 z + 64$ $z^2+16z+64$

Explanation:

Each term in the second bracket must be multiplied by each term in the first bracket.

Since ${(z + 8)}^{2} = (z + 8) (z + 8)$ $(z+8)^2=(z+8)(z+8)$

$\Rightarrow (z + 8) (z + 8)$ $rArr(color(red)(z+8))(z+8)$

$= z (z + 8) + 8 (z + 8)$ $=color(red)(z)(z+8)color(red)(+8)(z+8)$

distribute the brackets.

$= z^{2} + 8 z + 8 z + 64$ $=z^2+8z+8z+64$

collect like terms.

$= z^{2} + 16 z + 64$ $=z^2+16z+64$

Science

Math

Humanities

... and beyond

How do you multiply ${(z + 8)}^{2}$ $(z+8)^2$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you multiply (z+8)^2(z+8)2(z+8)^2?

1 Answer

Explanation:

Related questions

Impact of this question

How do you multiply ${(z + 8)}^{2}$ $(z+8)^2$ ?