Question

Q.3 Factorize the following by using a suitable identity:
(a) 4x² + 12xy +9y²
(b) x6 - y6
(c) (a-b)³+ (b-c)³+(c-a)³
(d)x8-y8
(e) 27x³-135x² +225x -125

Pls answer correctly or else I will report you.
In second and third question they are the number are in root form don't misunderstand
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Answer 1

Answer:

Step-by-step explanation:

(a). a² ± 2ab + b² = (a ± b)²

(2x)² + 2×3y×2x + (3y)² = (2x + 3y)²

(b). a³ ± b³ = (a ± b)(a² ± ab + b²) ; a² - b² = (a - b)(a +b)

(x²)³ - (y²)³ = (x² - y²)((x²)² + x²y² + (y²)²) =

(x - y)(x + y)($x^{4}$ + x²y² + $y^{4}$)

(c). (a ± b)³ = a³ ± 3a²b + 3ab² ± b³

(See attachment)

(d). ($x^{4}$ - $y^{4}$)(($x^{4}$ + $y^{4}$) = (x² - y²)(x² + y²)(($x^{4}$ + $y^{4}$) =

(x - y)(x + y)(x² + y²)($x^{4}$ + $y^{4}$)

(e). (3x)³ - 3×5×(3x)² + 3×(3x)×5² - 5³ = (3x - 5)³