Find the common factors of the given terms.
.
Factorise the following expressions.
Factorise.
(i) x2 + xy + 8x + 8y
(ii) 15xy – 6x + 5y – 2
(iii) ax + bx – ay – by
(iv) 15pq + 15 + 9q + 25p
(v) z – 7 + 7xy – xyz.
Factorise the following expressions.
Factorise
Factorise the expressions.
Factorise.
Factorise the following expressions.
(i) p2 + 6p + 8
(ii) q2 – 10q + 21
(iii) p2 + 6p – 16.
Carry out the following divisions.
Divide the given polynomials by the given monomial.
Work out the following divisions.
Divide as directed.
Factorise the expressions and divide them as directed.
Find and correct the errors in the following mathematical statements.
4(x – 5) = 4x – 5
The given statement is incorrect
The correct statement is 4(x – 5) = 4x – 20.
x(3x + 2) = 3x2 + 2
SOLUTION:The given statement is incorrect.
The correct statement is x(3x + 2) = 3x2 + 2x.
2x + 3y = 5xy
SOLUTION:The given statement is incorrect.
The correct statement is 2x + 3y = 2x + 3y.
x + 2x + 3x = 5x
SOLUTION:The given statement is incorrect.
The correct statement is x + 2x + 3x = 6x.
5y + 2y + y – 7y = 0
SOLUTION:The given statement is incorrect.
The correct statement is 5y + 2y + y – 7y = y.
3x + 2x = 5x2
SOLUTION:The given statement is incorrect.
The correct statement is 3x + 2x = 5x.
(2x)2 + 4(2x) + 7 = 2x2 + 8x + 7
SOLUTION:The given statement is incorrect.
The correct statement is (2x)2 + 4(2x) + 7
= 4x2 + 8x + 7.
(2x)2 + 5x = 4x + 5x = 9x
SOLUTION:The given statement is incorrect.
The correct statement is (2x)2 + 5x = 4x2 + 5x.
(3x + 2)2 = 3x2 + 6x + 4
SOLUTION:The given statement is incorrect.
The correct statement is (3x + 2)2
= (3x)2 + 2(3x)(2) + 22 = 9x2 + 12x + 4.
Substituting x = –3 in
(y – 3)2 = y2 – 9
SOLUTION:
(z + 5)2 = z2 + 25
SOLUTION:
(2a + 3b) (a – b) = 2a2 – 3b2
SOLUTION:
(a + 4) (a + 2) = a2 + 8
SOLUTION:
(a – 4) (a – 2) = a2 – 8
SOLUTION: