How do you simplify $(3 x - y) (5 x + y)$ $(3x-y)(5x+y)$ ?

Question

How do you simplify $(3 x - y) (5 x + y)$ $(3x-y)(5x+y)$ ?

1 Answer

Impact of this question

2868 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-01-12T13:28:29

$15 x^{2} - 2 x y - y^{2}$ $15x^2-2xy-y^2$

Explanation:

Given: $(3 x - y) (5 x + y)$ $color(brown)((3x-y)color(blue)((5x+y))$

The trick is to realize that everything inside one bracket is multiplied by everything inside the other. DO NOT FORGET ABOUT THE SIGNS.
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Rewrite as: $3 x (5 x + y) - y (5 x + y)$ $color(brown)(3xcolor(blue)((5x+y)) -y color(blue)((5x+y))$

Giving: $(3 x \times 5 x) + (3 x \times y) - (y \times 5 x) - (y \times y)$ $color(brown)( (3x xxcolor(blue)(5x))+(3x xxcolor(blue)(y))-(y xx color(blue)(5x))-(y xxcolor(blue)(y))$

Notice that multiplying by $- y$ $color(brown)(-y)$ changes the sign of everything inside $(5 x + y)$ $color(blue)((5x+y))$

$15 x^{2} + 3 x y - 5 x y - y^{2}$ $15x^2+3xy-5xy-y^2$

$15 x^{2} - 2 x y - y^{2}$ $15x^2-2xy-y^2$

Science

Math

Humanities

... and beyond

How do you simplify $(3 x - y) (5 x + y)$ $(3x-y)(5x+y)$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you simplify (3x-y)(5x+y)(3x−y)(5x+y) (3x-y)(5x+y)?

1 Answer

Explanation:

Related questions

Impact of this question

How do you simplify $(3 x - y) (5 x + y)$ $(3x-y)(5x+y)$ ?