Year 10 Expanding to Get the Difference of Two Squares

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The expansion of (x + 4)(x – 4) is

1 point

x² + 16

x² – 16

x² + 8x + 16

x² – 8x – 16

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(x + 5)(x – 5) is the same as

1 point

x² + 25

x² + 10x – 25

x² – 25

x² – 10x + 25

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(a + b)(a – b) gives

1 point

a² – b²

a² + 2ab + b²

a + 2ab – b²

a² + b²

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Expand (x - 3)(x + 3)

1 point

x² – 9

x² + 9

x² – 6x + 9

x² + 6x – 9

Clear selection

Expand (7t + 3)(7t – 3)

1 point

49t² + 9

49t² – 42t – 9

49t² – 9

49t² + 42t – 9

Clear selection

(4x – 1)(4x + 1)

1 point

4x² – 1

16x² – 1

16x² – 8x + 1

4x² – 8x + 1

Clear selection

(3x² − 2)(3x² + 2)

1 point

9x² – 4

9x² + 4

9x⁴ – 4

9x⁴ – 12x² + 4

Clear selection

Expand the product (𝑥+1)(𝑥−1)

1 point

x² + 1

x² –2x – 1

x² + 2x – 1

x² – 1

Clear selection

Use the difference of two squares identity to expand (3𝑎+7)(3𝑎−7).

1 point

6a² – 14

9a² – 7

9a – 49

9a² – 49

Clear selection

Expand the product (2𝑚+𝑛)(2𝑚−𝑛)

1 point

4m² + 2mn + n²

4m² + 2mn – n²

4m² – n²

4m² + n²

Clear selection

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