Advertisements
Advertisements
प्रश्न
Factorize each of the following algebraic expression:
x2 + 2x + 1 − 9y2
उत्तर
\[x^2 + 2x + 1 - 9 y^2 \]
\[ = ( x^2 + 2x + 1) - 9 y^2 \]
\[ = ( x^2 + 2 \times x \times 1 + 1) - 9 y^2 \]
\[ = (x + 1 )^2 - (3y )^2 \]
\[ = [(x + 1) - 3y][(x + 1) + 3y]\]
\[ = (x + 1 - 3y)(x + 1 + 3y)\]
\[ = (x + 3y + 1)(x - 3y + 1)\]
APPEARS IN
संबंधित प्रश्न
Factorize each of the following algebraic expressions:
−4(x − 2y)2 + 8(x −2y)
Factorize each of the following algebraic expressions:
4(x + y) (3a − b) +6(x + y) (2b − 3a)
Factorize each of the following expressions:
p2q − pr2 − pq + r2
Factorize each of the following algebraic expression:
p2q2 − 6pqr + 9r2
Factorize each of the following algebraic expression:
a2 − b2 + 2bc − c2
Factorize each of the following algebraic expression:
a2 + 2ab + b2 − c2
Factorize each of the following algebraic expression:
x2 − 22x + 120
Factorise the following expression and write in the product form.
24a2b2
Factorise the following expression.
`"x"^2-1/"x"^2`
Factorise the following expression and write them in the product form.
6 ab2.
