Advertisements
Advertisements
प्रश्न
Factorize each of the following algebraic expression:
49 − a2 + 8ab − 16b2
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:
9a(6a − 5b) −12a2(6a − 5b)
Factorize each of the following algebraic expressions:
−4(x − 2y)2 + 8(x −2y)
Factorize each of the following algebraic expression:
9a4 − 24a2b2 + 16b4 − 256
Factorize each of the following algebraic expression:
x2 + 2x + 1 − 9y2
Factorize each of the following algebraic expression:
25x2 − 10x + 1 − 36y2
Factorize each of the following algebraic expression:
x2 + 12x − 45
Factorize each of the following algebraic expression:
a2 + 3a − 88
Factorize each of the following algebraic expression:
a2 + 2a − 3
Factorise the following expression.
`1/2"y"^2-8"z"^2`
Factorise the following expression and write them in the product form.
6 ab2.
