Question

Factorize 25a⁴ – 20a²b + 4b²​

Answer 1

$\large{\underline{\underline{\mathfrak{\green{\sf{Solution:-}}}}}}$.

$\large{\underline{\underline{\mathfrak{\pink{\sf{Given\:Equation:-:}}}}}}$.

✴$\red{\:25a^4-20a^2b+4b^2}$.

$\large{\underline{\underline{\mathfrak{\green{\sf{Explanation:-}}}}}}$.

$\implies\:25a^4 - 20a^2b+4b^2$.

$\implies\:(5a^2)^2-2*5*a^2*2b+(2b)^2$.

➡we know,

✴$\red{\:(x+y)^2\:=\:x^2+y^2+2xy}$.

Now,using this Formula .

➡We get,

$\implies\:(5a^2-2b)$.

_________________

Answer 2

$\huge{\underline{\mathbb{\red{GIVEN}}}}$

$= > 25 {a}^{4} - 20 {a}^{2} b + 4 {b}^{2}$

$\huge{\underline{\underline{\mathfrak{Explaination}}}}$

$= > 25 {a}^{4} - 20 {a}^{2} b + 4 {b}^{2}$

$= > (5 {a}^{2}) {}^{2} - 2 \times 5 \times {a}^{2} \times 2b + ( {2b}^{2} )$

$= > (x + y) {}^{2} = {x}^{2} + {y}^{2} + 2xy$

$\huge{\underline{\mathbb{\red{We/:get}}}}$

$= > (5 {a}^{2} - 2b )$

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$\huge{\underline{\underline{\mathfrak{Thank you}}}}$