Advertisements
Advertisements
Question
Factorize each of the following algebraic expression:
96 − 4x − x2
Advertisements
Solution
\[96 - 4x - x^2 \]
\[ = 100 - 4 - 4x - x^2 \]
\[ = 100 - ( x^2 + 4x + 4)\]
\[ = 100 - ( x^2 + 2 \times x \times 2 + 2^2 )\]
\[ = {10}^2 - (x + 2 )^2 \]
\[ = [10 - (x + 2)][10 + (x + 2)]\]
\[ = (10 - x - 2)(10 + x + 2)\]
\[ = (8 - x)(12 + x)\]
\[ = (x + 12)( - x + 8)\]
RELATED QUESTIONS
Factorize each of the following algebraic expressions:
9a(6a − 5b) −12a2(6a − 5b)
Factorize each of the following algebraic expressions:
a2(x + y) +b2(x + y) +c2(x + y)
Factorize each of the following expressions:
qr − pr + qs − ps
Factorize each of the following algebraic expression:
25x2 − 10x + 1 − 36y2
Factorize each of the following algebraic expression:
a2 + 4b2 − 4ab − 4c2
Factorize each of the following algebraic expression:
x2 − y2 − 4xz + 4z2
Factorize each of the following algebraic expression:
x2 − 4x − 21
Factorise the following expression.
4x2 − 25y2
Factorise the following expression.
`9"x"^2-1/16"y"^2`
