16. Factorise :
(1) 8x3 + 27y3 + 125z3 - 90xyz give step by step answer and I will mark u brianleast.
Answers
Answered by
1
Step-by-step explanation:
8x
3
+27y
3
+125z
3
−90xyz
Using,
a
3
+b
3
+c
3
−3abc=(a+b+c)(a
2
+b
2
+c
2
−ab−bc−ca)
Here,
a=2x
b=3y
c=5z,
Therefore,
=>(2x)
3
+(3y)
3
+(5z)
3
−3×2x×3y×5z=(2x+3y+5z)(4x
2
+9y
2
+25z
2
+6xy−15yz−10xz)
Answered by
1
Answer: Hi buddy , so let us solve it in a step by step explanation for your better understanding
Step by Step Explanation - Using the identity a3 + b3 + c3 - 3abc = [ a + b + c ] [ a^2 + b ^2 + c ^2 - ab - bc - ca ]
Here ,
a = 2x , b = 3y , c = 5z
Therefore ,
[2x]^3 + [3y]^3 + 5z^3 - 3 * 2x *3y * 5z = [ 2x + 3y + 5z ] = [4x^2 + 9y^2 + 25z^2 + 6xy - 15yz - 10xz ]
I hope it helped you , keep supporting ,
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