Factorize:21x^2-2x+1 21 - Vidyadip

Question

Factorize:$21\text{x}^2-2\text{x}+\frac{1}{21}$

✓

Answer

$21\text{x}^2-2\text{x}+\frac{1}{21}$
$=\big(\sqrt{21\text{x}}\big)^2-2\sqrt{21}\text{x}\times\frac{1}{\sqrt{21}}+\Big(\frac{1}{\sqrt{21}}\Big)^2$
Using the identity $(x - y)^2 = x^2 + y^2 - 2xy$
$\Big(\sqrt{21}\text{x}-\frac{1}{\sqrt{21}}\Big)^2$
$\therefore21\text{x}^2-2\text{x}+\frac{1}{21}=\Big(\sqrt{21}\text{x}-\frac{1}{\sqrt{21}}\Big)^2$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "3 Mark Question" from Factorization Of Algebraic Expressions→Factorization Of Algebraic Expressions — all question types→Maths STD 9 question papers→Maharashtra Board STD 9 question papers→Maharashtra Board question paper generator→

Similar questions

Two angles of a triangle are equal and the third angle is greater than each of those angles by 30º. Determine all the angles of the triangle.

if $\text{a}=\text{xy}^{\text{p}-1},\ \text{b}=\text{xy}^{\text{q}-1}$ and $\text{c}=\text{xy}^{\text{r}-1},$ prove that $\text{a}^{\text{q}-\text{r}}\ \text{b}^{\text{r}-\text{p}}\ \text{c}^{\text{p}-\text{q}}=1.$

Factorize the following expressions:
$1029 - 3x^3$

Prove that the perpendicular bisectors of the sides of a cyclic quadrilateral are concurrent.

Express the following decimals in the form $\frac{\text{p}}{\text{q}},$ where p, q are integers and $\text{q}\neq0.$$32.12\overline{35}$

Factorise:$\text{x}^2+\frac{1}{\text{x}^2}-3$

Using the remainder theorem, find the remainder, when p(x) is divided by g(x), where,
p(x) = 2x^3 + 3x^2 - 11x - 3$, $\text{g}(\text{x})=\Big(\text{x}+\frac{1}{2}\Big).$

Express each one of the following with rational denominator:$\frac{6-4\sqrt2}{6+4\sqrt{2}}$

Express the following decimals in the form $\frac{\text{p}}{\text{q}},$ where p, q are integers and $\text{q}\neq0.$$0.3\overline{178}$

Simplify : $\sqrt{216}-5 \sqrt{6}+\sqrt{294}-\frac{3}{\sqrt{6}}$