Question

factorise x^2-a^2+10ab-25b^2​

Answer 1

Step-by-step explanation:

Simplifying

x2 = a2 + 25b2 + -10ab

Reorder the terms:

x2 = -10ab + a2 + 25b2

Solving

x2 = -10ab + a2 + 25b2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Simplifying

x2 = -10ab + a2 + 25b2

Reorder the terms:

10ab + -1a2 + -25b2 + x2 = -10ab + a2 + 25b2 + 10ab + -1a2 + -25b2

Reorder the terms:

10ab + -1a2 + -25b2 + x2 = -10ab + 10ab + a2 + -1a2 + 25b2 + -25b2

Combine like terms: -10ab + 10ab = 0

10ab + -1a2 + -25b2 + x2 = 0 + a2 + -1a2 + 25b2 + -25b2

10ab + -1a2 + -25b2 + x2 = a2 + -1a2 + 25b2 + -25b2

Combine like terms: a2 + -1a2 = 0

10ab + -1a2 + -25b2 + x2 = 0 + 25b2 + -25b2

10ab + -1a2 + -25b2 + x2 = 25b2 + -25b2

Combine like terms: 25b2 + -25b2 = 0

10ab + -1a2 + -25b2 + x2 = 0

The solution to this equation could not be determined

Answer 2

Answer:

(x+a-5b)(x-a+5b)

Step-by-step explanation:

${x}^{2} - {a}^{2} + 10ab - 25 {b}^{2} \\ = {x}^{2} - ( {a}^{2} - 10ab + 25 {b}^{2} ) \\ = {x}^{2} - ( {(a)}^{2} - 2 \times a \times 5b + {(5b)}^{2} ) \\ = {x}^{2} - {(a - 5b)}^{2} \\ = (x + a - 5b)(x - a + 5b)$