Question

If a+b+c=9 and ab+bc+ca=26 then find the value of$a^{3} + b^{3} + c^{3} = 3abc$

Answer 1

Answer:

We have,

a+b+c= 9.

And, ab + bc + ca = 26.

Now, using Identity :-)

→ ( a + b + c)² = a² + b² + c² + 2( ab + bc +

ca).

→ (9)² = a² + b² + c² + 2( 26).

→ 81 = a² + b² + c² + 52.

81-52 a² + b ² + c².

.. a² + b² + c² = 29.

Now, using Identity :-)

→ a³ + b³ + c³-3abc = (a + b + c) (a² + b²

+ c²-( ab + bc + ca).

= (9)[ 29 - (26)].

=(9) (29 -26).

= 9 × 3.

.. a³ + b³ + c³ - 3abc = 27.

Hence, it is solved.

Answer 2

Step-by-step explanation:

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The plasma membrane can be described as a phospholipid bilayer with embedded proteins that controls the passage of organic molecules, ions, water, and oxygen into and out of the cell. Wastes (such as carbon dioxide and ammonia) also leave the cell by passing through the membrane.