Question

factorise 3 X - 2 Y + 5 Z whole square​

Answer 1

Solution:-

( 3x - 2y + 5z)²

We know that,

( a - b + c)² = [ a² + b² + c² + 2( ac - bc - ab) ]

=) [ (3x)² + (-2y)² + (5z)² + 2( 3x*5z - 2y*5z - 3x*2y) ]

=) [ 9x² + 4y² + 25z² + 2( 15xz - 10zy - 6xy) ]

=) [ 9x² + 4y² + 25z² + 30xz - 20zy -12xy ].

Some Formulas are :-

( a + b)³ = a³ + b³ + 3ab( a+b)

( a - b)³ = a³ - b³ - 3ab ( a - b)

( a³ + b³) = ( a+b)³ - 3ab(a+b)

( a³ -b³) = ( a-b)³ + 3ab (a-b)

Answer 2

Question:

Factorise:

( 3x - 2y + 5z)²

Answer:

→ [ 9x² + 4y² + 25z² + 30xz - 20zy -12xy ]

Step-by-step explanation:

→ ( 3x - 2y + 5z)²

= [ (3x)² + (-2y)² + (5z)² + 2( 3x × 5z - 2y× 5z - 3x × 2y) ]

= [ 9x² + 4y² + 25z² + 2( 15xz - 10zy - 6xy) ]

= [ 9x² + 4y² + 25z² + 30xz - 20zy -12xy ].

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Formula used in the above solution is:

→ ( a - b + c)²

= [ a² + b² + c² + 2( ac - bc - ab) ]

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