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We have 121b 2 - 88bc + 16c 2 = (11b) 2 - 2(11b)(4c) + (4c) 2 = (11b - 4c) 2 = (11b - 4c)(11b - 4c) ∴ 121b 2 - 88bc + 16c 2 = (11b - 4c) 2 = (11b - 4c)(11b - 4c)

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Factorisation

Short Answer Type

41.
Factorise the following expression:

121b² - 88bc + 16c²

We have 121b² - 88bc + 16c² = (11b)² - 2(11b)(4c) + (4c)²

= (11b - 4c)² = (11b - 4c)(11b - 4c)

∴ 121b² - 88bc + 16c² = (11b - 4c)² = (11b - 4c)(11b - 4c)

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42.

Factorise the following expression:

(l+m)² - 4lm

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43.

Factorise the following expression:

$straight a to the power of 4 space plus space 2 straight a squared straight b squared plus straight b to the power of 4$

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44.

Factorise:

$4 straight p squared space minus space 9 straight q squared$

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45.

Factorise:

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