Factorise 4x2-4x-1-x-2 Marks-

Given expression: nbsp; 4x^2+4x+1/x =4x+4+1/x [0.5 Marks] =(2√(x))^2+2√(x)1/√(x)+(1/√(x))^2 [0.5 Marks] nbsp;it is in the form of a^2+2ab+b^2=(a+b)^2 [0.5 ...

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Byju's Answer

Standard VII

Mathematics

Factorising a Binomial

Factorise 4x2...

Question

Factorise
$\frac{4 x^{2} + 4 x + 1}{x}$
[2 Marks]

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Solution

Given expression:
$\frac{4 x^{2} + 4 x + 1}{x}$
$=$ $4 x + 4 + \frac{1}{x}$
[0.5 Marks]
$=$ $(2 \sqrt{x})^{2} + 2 \sqrt{x} \frac{1}{\sqrt{x}} + (\frac{1}{\sqrt{x}})^{2}$
[0.5 Marks]
it is in the form of $a^{2} + 2 a b + b^{2} = (a + b)^{2}$
[0.5 Marks]
$(2 \sqrt{x})^{2} + 2 \sqrt{x} \frac{1}{\sqrt{x}} + (\frac{1}{\sqrt{x}})^{2} = (2 \sqrt{x} + \frac{1}{\sqrt{x}})^{2}$
[0.5 Marks]

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Factorise 4x2+4x+1x [2 Marks]

Given expression: 4x2+4x+1x = 4x+4+1x [0.5 Marks] = (2√x)2+2√x1√x+(1√x)2 [0.5 Marks] it is in the form of a2+2ab+b2=(a+b)2 [0.5 Marks] (2√x)2+2√x1√x+(1√x)2=(2√x+1√x)2 [0.5 Marks]

Factorise
$\frac{4 x^{2} + 4 x + 1}{x}$
[2 Marks]