Question

factorize 27x3 + 125y3 + 135x2y + 225xy2

Answer 1

Answer:

(3x+5y)³

Step-by-step explanation:

THIS IS IN THE FORM OF (ax+by)³

(3x)³+(5y)³+3(9x²)(5y)+3(3x)(25y²)

here a=3, b=5

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Answer 2

$\bold\red{\underline{\underline{Answer:}}}$

$\bold\blue{(3x+5y)^{3}}$

$\bold\green{Explanation}$

$\bold\pink{(a+b)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3}}$

$\bold\orange{\underline{\underline{Solution}}}$

$\bold\purple{The \ given \ cubic \ polynomial \ is}$

$\bold\red{=>27x^{3}+125y^{3}+135x^{2}y+225xy^{2}}$

$\bold\blue{Here, 27x^{3}=(3x)^{3}, \ 125y^{3}=(5y)^{3},}$

$\bold\green{135x^{2}y=3(3x)^{2}×5y, \ 225xy^{2}=3×3x×(5y)^{2}}$

$\bold\pink{According \ to \ identity}$

$\bold\orange{Here,a=3x \ and b=5y}$

$\bold\purple{\tt{\therefore{=>(3x+5y)^{3}}}}$