How do you simplify ${(5 - 8 y)}^{2}$ $(5 - 8y)^2$ ?

Question

How do you simplify ${(5 - 8 y)}^{2}$ $(5 - 8y)^2$ ?

1 Answer

Impact of this question

1879 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-04-27T10:40:17

$64 y^{2} - 80 y + 25$ $64y^2-80y+25$

Explanation:

Each term in the second bracket is multiplied by each term in the first bracket as shown below.

${(5 - 8 y)}^{2} = (5 - 8 y) (5 - 8 y)$ $(5-8y)^2=(5-8y)(5-8y)$

$\Rightarrow (5 - 8 y) (5 - 8 y)$ $rArr(color(red)(5-8y))(5-8y)$

$= 5 (5 - 8 y) - 8 y (5 - 8 y)$ $=color(red)(5)(5-8y)color(red)(-8y)(5-8y)$

$= (5 \times 5) + (5 \times - 8 y) + (- 8 y \times 5) + (- 8 y \times - 8 y)$ $=(color(red)(5)xx5)+(color(red)(5)xx-8y)+(color(red)(-8y)xx5)+(color(red)(-8y)xx-8y)$

$= 25 + (- 40 y) + (- 40 y) + 64 y^{2}$ $=25+(-40y)+(-40y)+64y^2$

$= 25 - 40 y - 40 y + 64 y^{2}$ $=25-40y-40y+64y^2$

$= 64 y^{2} - 80 y + 25 \leftarrow in standard form$ $=64y^2-80y+25larrcolor(red)" in standard form"$

Science

Math

Humanities

... and beyond

How do you simplify ${(5 - 8 y)}^{2}$ $(5 - 8y)^2$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you simplify (5 - 8y)^2(5−8y)2(5 - 8y)^2?

1 Answer

Explanation:

Related questions

Impact of this question

How do you simplify ${(5 - 8 y)}^{2}$ $(5 - 8y)^2$ ?