Question

Verify that ax (b+c) = (a x b) + (a x c), if a = -21, b=-4 and c=-6.​

Answer 1

Answer:

210

Step-by-step explanation:

LHS: a(b+c)

-21(-4-6)

-21×-10

=210

RHS: ab+ac

-21×-4+(-21×-6)

84+126

=210

LHS=RHS

Answer 2

To verify:

• a (b + c) = (a × b) + ( a × c) if a = -21, b = -4 and c = -6

Verification:

L.H.S. = a (b + c)

⠀⠀⠀⠀= -21 (-4 - 6)

⠀⠀⠀⠀= -21 (-10)

⠀⠀⠀⠀= 210

R.H.S. = (a × b) + (a × c)

⠀⠀⠀⠀= [-21 × (-4)] + [-21 × (-6)]

⠀⠀⠀⠀= 84 + 126

⠀⠀⠀⠀= 210

⠀⠀⠀⠀= L.H.S.

Hence, verified.

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Extra information:

• (a + b) (a² - ab + b²) = a³ + b³

• (a - b) (a² + ab +b²) = a³ - b³