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Factorisation Using Algebraic Identities

Solve 4x 2 +...

Question

Solve
${4 x}^{2} + 20 x + 25$

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Solution

$4 x^{2} + 20 x + 25$
$\Rightarrow (2 x)^{2} + 2 (2) (5) x + (5)^{2}$
$\Rightarrow (2 x + 5)^{2}$ .

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4 x^{2}

Factorise the following equation:

4 x^{2} + 20 x + 25

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4 x^{2} - 20 x + 9 = 0

Q. The expansion of

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If x = 10, then the value of (4x² + 20x + 25) = ?
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(b) 425
(c) 625
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