factorise the following by taking out the common factor:- please answer it then I mark as brainlist
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OVERVIEW
SIMPLIFY
QUESTION
5y^{3}(x^{2}-5)-2y^{2}(x^{2}-5)+3y(x^{2}-5)5y
3
(x
2
−5)−2y
2
(x
2
−5)+3y(x
2
−5)
STEPS TO SOLVE
1
Distribute
{\color{#c92786}{5x^{2}y^{3}-25y^{3}}}-2y^{2}(x^{2}-5)+3y(x^{2}-5)5x
2
y
3
−25y
3
−2y
2
(x
2
−5)+3y(x
2
−5)
2
Distribute
5x^{2}y^{3}-25y^{3}{\color{#c92786}{-2x^{2}y^{2}+10y^{2}}}+3y(x^{2}-5)5x
2
y
3
−25y
3
−2x
2
y
2
+10y
2
+3y(x
2
−5)
3
Distribute
5x^{2}y^{3}-25y^{3}-2x^{2}y^{2}+10y^{2}+{\color{#c92786}{3yx^{2}-15y}}5x
2
y
3
−25y
3
−2x
2
y
2
+10y
2
+3yx
2
−15y
4
Rearrange terms
{\color{#c92786}{5x^{2}y^{3}-2x^{2}y^{2}-25y^{3}+3yx^{2}+10y^{2}-15y}}5x
2
y
3
−2x
2
y
2
−25y
3
+3yx
2
+10y
2
−15y
SOLUTION
5x^{2}y^{3}-2x^{2}y^{2}-25y^{3}+3yx^{2}+10y^{2}-15y5x
2
y
3
−2x
2
y
2
−25y
3
+3yx
2
+10y
2
−15y
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