Question

(x-a)(x- b) = x² - (a – b)x + ab. (true or false)​

Answer 1

Answer:

false

Step-by-step explanation:

LHS = (x-a)(x-b) = (x)(x) +(x)(-b) + (-a)(x) + (-a)(-b)

= x² - ax -bx + ab

= x² - (a +b)x + ab

RHS = x² -(a-b)x +ab

LHS ≠ RHS

hence false

Answer 2

$\sf \huge \blue {Question:-}$

$\red{\sf ✧ \: State \: True \: or \: False}$

$\red{\sf (x-a)(x- b) = x² - (a – b)x + ab}$

________________________________

$\sf \huge \blue {Answer:-}$

$\red{\sf ☞ \: False}$

________________________________

$\sf \huge \blue {Explanation:-}$

L.H.S = (x-a)(x-b)

= x(x-b) -a(x-b)

= x² - bx -ax + ab

= x² - (a+b)x + ab

⠀ ⠀⠀ ⠀ ⠀⠀ ⠀

R.H.S. = x² - (a - b)x + ab

⠀ ⠀⠀ ⠀ ⠀⠀ ⠀

$\red{\sf As, \: x² - (a+b)x + ab ≠ x² - (a - b)x + ab}$

$\red{\sf Therefore, \: L.H.S ≠ R.H.S}$

⠀ ⠀⠀ ⠀ ⠀⠀ ⠀

$\red{\sf Therefore, \: the \: above \: equation \: is \: wrong}$

$\red{\sf and \: right \: equation \: is }$

$\red{\sf (x-a)(x-b) = x² - (a+b)x + ab}$