Plzz Answer 9 and 10
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garima521:
1.x^3+y^3=(x+y)(x^2-xy+y^2)
This is question ,,,,answer it
x^3+y^3=x^3-x^2y+xy^2+x^2y-xy^2+y^3
= x^3-x^2y+x^2y+xy^2-xy^2+y^3
x^3+y^3=x^3+y^3
hence verified
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Answer:
Step-by-step explanation:
9. (i)x³+y³=(x+y)(x²-xy+y²)
=x(x²-xy+y²)+y(x²-xy+y²)
=(x³-x²y+xy²)+(x²y-xy²+y³)
=x³-x²y+xy²+x²y-xy²+y³
=x³-x²y+x²y+xy²-xy²+y³
=x³+y³=LHS
(ii)x³-y³=(x-y)(x²+xy+y²)
=x(x²+xy+y²)-y(x²+xy+y²)
=x³+x²y+xy²-x²y-xy²-y³
=x³+x²y-x²y+xy²-xy²-y³
=x³-y³=LHS
10.(i)27y³+125z³
=(3y)³+(5z)³
=(3y+5z)((3y)²-(3y)(5z)+(5z)²)
=(3y+5z)(9y²-15yz+25z²)
(ii)64m³-343n³
=(4m)³-(7n)³
=(4m-7n)((4m)²+(4m)(7n)+(7n)²)
=(4m-7n)(16m²+28mn+49²)
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