Factorisation

The factors of 49p² – 36 are:

• (7p+6)²

• (7p-6)²

• None of these

• (7p – 6 ) ( 7p + 6)

Answer explanation

49p² – 36 = (7p)² – ( 6 )² = (7p – 6 ) ( 7p + 6)

The factors of m² – 256 are:

• (m + 4)²

• (m – 4) (m+4)

• (m – 4)²

• None of these

Answer explanation

m² = (m)² and 256 = (16)²

The common factor of a³b³ and ab² is:

• ab²

• a²b

• a²b²

• ab

Answer explanation

a³b³ = a x a x a x b x b x b

ab² = a x b x b

The common factor of a³b² and a⁴b is:

• a⁴b

• a⁴b²

• a³b²

• a³b

The common factor 12a and 30 is:

• 6a

• 12

• 30

• 6

Answer explanation

12a = 2 x 2 x 3 x a

30 = 2 x 3 x 5

The common factors of 10a, 20b and 30c are:

• 10abc

• ab

• 10

• qc

Answer explanation

10a = 2 x 5 x a

20b = 2 x 2 x 5 x b

30c = 2 x 3 x 5 x c

The factorisation of 5x – 20 is:

• 5(x-5)

• 5(x-20)

• 5(x-4)

• 5(x-3)

Answer explanation

5x – 20 = 5 (x – 4)

The factorisation of 8x + 4y is:

• 4(2x+4y)

• 8(x+4y)

• 8(x+y)

• 4(2x+y)

The factors of xyz are:

• x

• y

• z

• all of these

Answer explanation

x, y and z are all the factors of xyz.

On factorising 14pq + 35pqr, we get:

• p(14q+35qr)

• q(14p+35pr)

• 7pq(2+5r)

• pq(14+35r)

Answer explanation

14pq + 35pqr

= 2.7.p.q + 5.7.p.q.r

= 7pq(2+5r)