C-03-Q127mediumsingle_mcq

Factorize $x^3 + 6x^2 y + 11xy^2 + 6y^3$ :

a $(x+y)(x+2y)(x+3y)$
b $(x+y)^3$
c $(x+2y)^3$
d $(x+y)(x+y)(x+6y)$

ব্যাখ্যা

Testing $x=-y$ makes the expression vanish, so $(x+y)$ is a factor; dividing leaves $x^2+5xy+6y^2 = (x+2y)(x+3y)$ . Hence the full factorization is $(x+y)(x+2y)(x+3y)$ .

এই অধ্যায়ের আরও প্রশ্ন

C-03-Q128Factorize :
C-03-Q129Factorize :
C-03-Q130Factorize :
C-03-Q131If is divided by , the remainder is—
C-03-Q132By factor theorem, is a factor of iff—
C-03-Q133If is divided by , remainder = ?
C-03-Q134If is divided by where , remainder = ?
C-03-Q135is a factor of iff—
C-03-Q136The vanishing method of factoring uses—
C-03-Q137Factorize :

Algebraic Expressions — সব প্রশ্ন দেখুন (219টি) →

Factorize $x^3 + 6x^2 y + 11xy^2 + 6y^3$ :

(x+y)(x+2y)(x+3y)

(x+y)^3

(x+2y)^3

(x+y)(x+y)(x+6y)

ব্যাখ্যা

Testing $x=-y$ makes the expression vanish, so $(x+y)$ is a factor; dividing leaves $x^2+5xy+6y^2 = (x+2y)(x+3y)$ . Hence the full factorization is $(x+y)(x+2y)(x+3y)$ .

Factorize x3+6x2y+11xy2+6y3x^3 + 6x^2 y + 11xy^2 + 6y^3x3+6x2y+11xy2+6y3:

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

Factorize x3+6x2y+11xy2+6y3x^3 + 6x^2 y + 11xy^2 + 6y^3x3+6x2y+11xy2+6y3:

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

Factorize $x^3 + 6x^2 y + 11xy^2 + 6y^3$ :

Factorize $x^3 + 6x^2 y + 11xy^2 + 6y^3$ :