Question

factorise
25x2+16y2+ 4z2-40xy+16yz-20xzthey are squares not two​

Answer 1

50+?((((lohfdser office

Answer 2

Answer:

Given :-

➪ 25x² + 16y² + 4z² - 40xy + 16yz - 20xz

Solution :-

➪ 25x² + 16y² + 4z² - 40xy + 16yz - 20xz

➭ (- 5x)² + (4y)² + (2z)² + 2 × (- 5x) × (4y) + 2 × (4y) × (2z) + 2 × (2z) × (- 5x)

➭ (- 5x + 4y + 2z)²

➭ (- 5x + 4y + 2z) (- 5x + 4y + 2z)

∴ The value of 25x² + 16y² + 4z² - 40xy + 16yz - 20xz is (- 5x + 4y + 2z) (- 5x + 4y + 2z)

Formula used :-

➪ (a + b + c)²

➭ a² + b² + c² + 2ab + 2bc + 2ca