Advertisements
Advertisements
Question
Factorise the expression and divide them as directed.
12xy(9x2 − 16y2) ÷ 4xy(3x + 4y)
Solution
12xy(9x2 − 16y2) ÷ 4xy(3x + 4y)
`(12xy(9x^2−16y^2))/(4xy(3x+4y))`
= `(12xy[(3x)^2−(4y)^2])/(4xy(3x+4y)`
= `(12xy(3x−4y)(3x+4y))/(4xy(3x+4y))` ...[x2 + (a + b) x + ab = (x + a) (x + b)]
= 3(3x − 4y)
APPEARS IN
RELATED QUESTIONS
Work out the following division:
(10x − 25) ÷ 5
Work out the following division:
10y(6y + 21) ÷ 5(2y + 7)
Divide as directed.
x(x + 1) (x + 2) (x + 3) ÷ x(x + 1)
Factorise the expression and divide them as directed.
(m2 − 14m − 32) ÷ (m + 2)
Factorise the expression and divide them as directed.
4yz(z2 + 6z − 16) ÷ 2y(z + 8)
Find the greatest common factor (GCF/HCF) of the following polynomial:
7x, 21x2 and 14xy2
Find the greatest common factor (GCF/HCF) of the following polynomial:
15a3, − 45a2, − 150a
Find the greatest common factor (GCF/HCF) of the following polynomial:
2x3y2, 10x2y3, 14xy
Divide: x2 + 3x − 54 by x − 6
Divide x6 – y6 by the product of x2 + xy + y2 and x – y.
