Advertisements
Advertisements
Question
Factorize x( x - 2)( x - 4) + 4x - 8
Advertisements
Solution
= x ( x - 2)( x - 4) + 4 ( x - 2)
Taking ( x - 2) common in both terms
= ( x - 2){x ( x - 4) + 4}
= ( x - 2){x2 - 4x + 4}
Now splitting middle term of x2 - 4x + 4
= ( x - 2){x2 - 2x - 2x + 4}
= ( x - 2){x ( x - 2) - 2 ( x - 2)}
= ( x - 2){( x - 2)( x - 2)}
= ( x - 2)( x - 2)( x - 2)
= ( x - 2)3
∴ x ( x - 2)( x - 4) + 4x - 8 = ( x - 2)3
APPEARS IN
RELATED QUESTIONS
Get the algebraic expression in the following case using variables, constants and arithmetic operations.
One-fourth of the product of numbers p and q.
Get the algebraic expression in the following case using variables, constants and arithmetic operations.
Sum of numbers a and b subtracted from their product.
Factorize a2 + 4b2 - 4ab - 4c2
If x2 + y2 = 29 and xy = 2, find the value of x4 + y4 .
Write the number of the term of the following polynomial.
5x2 + 3 x ax
Multiply: (2x + 5y + 6)(3x + y - 8)
Divide: 6x2 - xy - 35y2 by 2x - 5y
Express the following as an algebraic expression:
The product of x and y divided by m.
When y = –1, the value of the expression 2y – 1 is 3
A student wrote an algebraic expression for “5 less than a number n divided by 3” as `n/3 - 5`. What error did the student make?
