Question

(3a + 2b2 - 5)(2a - 3)​

Answer 1

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Answer 2

3a + 2b² - 5 )( 2a - 3 )

In this question, We need to multiply (3a + 2b² - 5 ) with ( 2a - 3 ).

We can't multiply it directly, Thus, We will divide ( 2a - 3 ) into two,

→ 2a(3a + 2b² - 5 ) - 3(3a + 2b² - 5 )

→ 6a² + 4ab² - 10a - 9a - 6b² + 15

→ 6a² + 4ab² - 19a - 6b² + 15

We can't further simplify.

∴ (3a + 2b² - 5 )( 2a - 3 ) = 6a² + 4ab² - 19a - 6b² + 15.

\rule{300}{1}

2. ( 5x² - 2y + 7 )(4x - 1 )

In this question, We need to multiply ( 5x² - 2y + 7 ) with (4x - 1 ).

We can't multiply it directly, Thus, We will divide (4x - 1 ) into two,

→ 4x( 5x² - 2y + 7 ) - 1( 5x² - 2y + 7 )

→ 20x³ - 8xy + 28x - 5x² + 2y - 7

We can't further simplify.

∴ ( 5x² - 2y + 7 )(4x - 1 ) = 20x³ - 8xy + 28x - 5x² + 2y - 7

\rule{300}{1}

3. ( x² + y² - 3xy) (2x - 3y )

In this question, We need to multiply ( x² + y² - 3xy) with (2x - 3y ).

We can't multiply it directly, Thus, We will divide (2x - 3y ) into two,

→ 2x( x² + y² - 3xy) - 3y( x² + y² - 3xy)

→ 2x³ + 2xy² - 6x²y - 3x²y - 3y³ + 9xy²

→ 2x³ - 3y³ + 2xy² + 9xy² - 6x²y - 3x²y

→ 2x³ - 3y³ + 11xy² - 9x²y

We can't further simplify.

∴ ( x² + y² - 3xy) (2x - 3y ) = 2x³ - 3y³ + 11xy² - 9x²y.

\rule{300}{1}