Advertisements
Advertisements
Question
Factorize each of the following algebraic expression:
25x2 − 10x + 1 − 36y2
Advertisements
Solution
\[25 x^2 - 10x + 1 - 36 y^2 \]
\[ = (25 x^2 - 10x + 1) - 36 y^2 \]
\[ = [(5x )^2 - 2 \times 5x \times 1 + 1] - 36 y^2 \]
\[ = (5x - 1 )^2 - (6y )^2 \]
\[ = [(5x - 1) - 6y][(5x - 1) + 6y]\]
\[ = (5x - 1 - 6y)(5x - 1 + 6y)\]
\[ = (5x - 6y - 1)(5x + 6y - 1)\]
APPEARS IN
RELATED QUESTIONS
Factorize each of the following algebraic expressions:
(x − y)2 + (x − y)
Factorize each of the following algebraic expressions:
6(a + 2b) −4(a + 2b)2
Factorize each of the following algebraic expression:
9a2 − 24ab + 16b2
Factorize the following algebraic expression:
(x + 2)2 − 6(x + 2) + 9
Factorize each of the following algebraic expression:
49 − a2 + 8ab − 16b2
Factorize each of the following algebraic expression:
x2 − 11x − 42
Factorize each of the following algebraic expression:
x2 − 4x − 21
Factorise the following expression.
p2 − q2
Factorise the following expression.
`9"x"^2-1/16"y"^2`
The value of m in the equation 8m = 56 is ________
