Year 10 Factorising the Difference of Two Squares

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The expression x² − 121 factorises to:

1 point

(x − 11)²

(x − 11)(x + 12)

(x + 11)(x − 11)

(x − 11)(x − 11)

Clear selection

z² - 16

1 point

(z + 4)(z - 4)

) (z - 4)²

(z + 4)²

(x − 2)(x + 8)

Clear selection

When factorised, x² − y² =

1 point

(x − y)(x + y)

(x − y)²

(x + y)²

2(x − y)

Clear selection

Factorise 64 - w²

1 point

(8 - w)²

(8 + w)²

(8 - w)(8 + w)

(2 - w)(32 + w)

Clear selection

What does the expression 36m² − 1 factorise to?

1 point

(6m + 1)(6m − 1)

36(m + 1)(m − 1)

(6m − 1)

6(6m − 1)(6m − 1)

Clear selection

When factorised, 4p² − 25q² =

1 point

(2p − 5q)²

(2p − 5q)(2p + 5q)

(4p − 25q)(4p + 25q)

(4p − 25q)²

Clear selection

What does the expression 16a² − 25b² factorise to?

1 point

16(a + 5b)(a − 5b)

4(4a − 5b)²

(16a + 25b)(16a − 25b)

(4a + 5b)(4a − 5b)

Clear selection

4x² − 25 in factorised form is:

1 point

4(x − 5)(x + 5)

(2x − 5)(2x – 5)

(2x − 5)(2x + 5)

(4x + 5)(x − 5)

Clear selection

The expression 5c² − 20 factorises to:

1 point

5(c + 2)(c − 2)

5(c + 4)(c − 4)

(5c + 4)(5c − 4)

(5c + 20)(5c − 20)

Clear selection

Factorising 16x² - 100 fully gives

1 point

(2x - 5)(2x + 5)

4(2x - 10)(2x + 10)

4(2x - 5)(2x + 5)

4(4x - 5)(4x + 5)

Clear selection

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