A few days ago
Anonymous

help in math.?

Help needed.

Q30) Simplify this fraction.

(x² + 4xy + 3y²) / (x + 3y) multiply (x² – 2xy + y²) / (x² – y²) multiply (x + y) / (x -y).

Top 4 Answers
A few days ago
Vera

Favorite Answer

x^2 = x on the second power (x *x)

so then x^2 – y^2 = (x+y)(x-y) which affects the last two fractions

= (x^2+4xy+3y^2)/(x+3y) * (x^2-2xy+y^2)/((x+y)(x-y)) * (x+y)/(x-y)

= (x^2+4xy+3y^2)/(x+3y) *(x^2 – 2xy+y^2)/((x-y)(x-y))

=(x^2+4xy+3y^2)/(x+3y)*(x^2-2xy+y^2)/(x^2-2xy+y^2)

=(x^2+4xy+3y^2)/(x+3y)

=(x^2+y(4x+3y))/(x+3y)

=(x^2+y(3x+x+3y))/(x+3y)

=(x^2+3xy+y(x+3y))/(x+3y)

=(x(x+3y)+y(x+3y))/(x+3y)

=((x+3y)(x+y))/(x+3y)

=x+y

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A few days ago
lydz l
you need to factorise the tops first and then you may see that you see factors and are able to cancel them
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A few days ago
Anonymous
(x² + 4xy + 3y²) / (x + 3y) * (x² – 2xy + y²) / (x² – y²) * (x + y) / (x -y)

(x+3y)(x+y)/(x+3y) * (x-y)(x-y)/(x+y)(x-y) * (x+y)/(x-y)

(x+y) * (x-y)/(x+y) * (x+y)/(x-y)

x+y

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A few days ago
V.N.L.
wat do u mean by this “/”?

plus?

i could solve it if i know wat is it

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