Factorise the following expression completely:36m²-48mn+16n²Just tell me the solutionAnswer should be:4(3m-2n)² About the author Caroline
Answer: [tex]36 {m}^{2} – 48mn + 16 {n }^{2} \\ {6m}^{2} – 2 \times 6m \times 4n + {4n}^{2} \\ {(6m – 4n)}^{2} [/tex] Reply
Step-by-step explanation: You should use the formula of (a – b)² = a² – 2 (a × b) + b² (6m – 4n)² (6m)² – 2 (6m × 4n) + (4n)² 36m² – 2 (24mn) + 16n² 36m² – 48mn + 16n² 36m² – 48mn + 16n² = (6m – 4n)² (6m – 4n)² = 2 (3m – 2n)² 2 (3m – 2n)² Hope it helps… Mark as the Brainliest if it did… Reply
Answer:
[tex]36 {m}^{2} – 48mn + 16 {n }^{2} \\ {6m}^{2} – 2 \times 6m \times 4n + {4n}^{2} \\ {(6m – 4n)}^{2} [/tex]
Step-by-step explanation:
You should use the formula of (a – b)² = a² – 2 (a × b) + b²
(6m – 4n)²
(6m)² – 2 (6m × 4n) + (4n)²
36m² – 2 (24mn) + 16n²
36m² – 48mn + 16n²
36m² – 48mn + 16n² = (6m – 4n)²
(6m – 4n)² = 2 (3m – 2n)²
2 (3m – 2n)²
Hope it helps…
Mark as the Brainliest if it did…