Factorize the following:(i) 212mn – 3lm2n + 4lmn2(ii) x4y2 – x2y4

1.	Factorize the following:(i) 212mn – 3lm2n + 4lmn2(ii) x4y2 – x2y4 – x4y4(iii) 9x2y + 3axy(iv) 16m – 4m2(v) -4a2 + 4ab – 4ca
Answer» (i) 21²mn – 3lm²n + 4lmn² = lmn (2l – 3m + 4n) (ii) x⁴y² – x²y⁴ – x⁴y⁴ = x²y² (x² – y² – x²y²) (iii) 9x²y + 3axy = 3xy (3x + a) (iv) 16m – 4m² = 4m (4 – m) (v) -4a² + 4ab – 4ca = -4a (a – b + c)

Factorize the following:(i) 212mn – 3lm2n + 4lmn2(ii) x4y2 – x2y4 – x4y4(iii) 9x2y + 3axy(iv) 16m – 4m2(v) -4a2 + 4ab – 4ca

Answer»

(i) 21²mn – 3lm²n + 4lmn²

= lmn (2l – 3m + 4n)

(ii) x⁴y² – x²y⁴ – x⁴y⁴

= x²y² (x² – y² – x²y²)

(iii) 9x²y + 3axy

= 3xy (3x + a)

(iv) 16m – 4m²

= 4m (4 – m)

(v) -4a² + 4ab – 4ca

= -4a (a – b + c)