Advertisements
Advertisements
प्रश्न
Factorize each of the following algebraic expression:
49 − a2 + 8ab − 16b2
Advertisements
उत्तर
\[49 - a^2 + 8ab - 16 b^2 \]
\[ = 49 - ( a^2 - 8ab + 16 b^2 )\]
\[ = 49 - [ a^2 - 2 \times a \times 4b + (4b )^2 ]\]
\[ = 7^2 - (a - 4b )^2 \]
\[ = [7 - (a - 4b)][7 + (a - 4b)]\]
\[ = (7 - a + 4b)(7 + a - 4b)\]
\[ = - (a - 4b - 7)(a - 4b + 7)\]
\[ = - (a - 4b + 7)(a - 4b - 7)\]
APPEARS IN
संबंधित प्रश्न
Factorize each of the following algebraic expressions:
6x(2x − y) + 7y(2x − y)
Factorize each of the following algebraic expressions:
7a(2x − 3) + 3b(2x − 3)
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:
a2 − 2ab + b2 − c2
Factorize each of the following algebraic expression:
4x4 + y4
Factorize each of the following algebraic expression:
a2 − 8ab + 16b2 − 25c2
Factorize each of the following algebraic expression:
x2 + 12x − 45
Factorize each of the following algebraic expression:
a2 − 14a − 51
Factorise the following expression and write them in the product form.
6 ab2.
