Factorise by taking out the common factors : xy(3x 2 - 2y 2 ) - yz(2y 2 - 3x 2 ) + zx(15x 2 - 10y 2 )

Given, xy(3x 2 - 2y 2 ) - yz(2y 2 - 3x 2 ) + zx(15x 2 - 10y 2 ) = xy(3x 2 - 2y 2 ) - yz[-(3x 2 - 2y 2 )] + 5zx(3x 2 - 2y 2 ) = xy(3x 2 - 2y 2 ) + yz(3x 2 - 2y 2 ) + 5zx(3x 2 - 2y 2 ) = (3x 2 - 2y 2 )(xy + yz + 5zx). Hence, xy(3x 2 - 2y 2 ) - yz(2y 2 - 3x 2 ) + zx(15x 2 - 10y 2 ) = (3x 2 - 2y 2 )(xy + yz + 5zx).

Mathematics

Factorise by taking out the common factors :
xy(3x² - 2y²) - yz(2y² - 3x²) + zx(15x² - 10y²)

Factorisation

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Answer

Given,

xy(3x² - 2y²) - yz(2y² - 3x²) + zx(15x² - 10y²)

= xy(3x² - 2y²) - yz[-(3x² - 2y²)] + 5zx(3x² - 2y²)

= xy(3x² - 2y²) + yz(3x² - 2y²) + 5zx(3x² - 2y²)

= (3x² - 2y²)(xy + yz + 5zx).

Hence, xy(3x² - 2y²) - yz(2y² - 3x²) + zx(15x² - 10y²) = (3x² - 2y²)(xy + yz + 5zx).

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Mathematics

Factorise by taking out the common factors :
xy(3x² - 2y²) - yz(2y² - 3x²) + zx(15x² - 10y²)

Factorisation

Answer

Related Questions

3ab - 6b + 4a² - 8a in the form of factors is :
(a + 2)(4a + 3b)
(a - 2)(4a + 3b)
(a - 2)(4a - 3b)
(a + 2)(4a - 3b)

Factorise by taking out the common factors :
2x(a - b) + 3y(5a - 5b) + 4z(2b - 2a)

Factorise by grouping method :
16(a + b)² - 4a - 4b

Mathematics

Factorise by taking out the common factors :xy(3x2 - 2y2) - yz(2y2 - 3x2) + zx(15x2 - 10y2)

Factorisation

Answer

Related Questions

3ab - 6b + 4a2 - 8a in the form of factors is :(a + 2)(4a + 3b)(a - 2)(4a + 3b)(a - 2)(4a - 3b)(a + 2)(4a - 3b)

Factorise by taking out the common factors :2x(a - b) + 3y(5a - 5b) + 4z(2b - 2a)

Factorise by grouping method :16(a + b)2 - 4a - 4b

Factorise by taking out the common factors :
xy(3x² - 2y²) - yz(2y² - 3x²) + zx(15x² - 10y²)

3ab - 6b + 4a² - 8a in the form of factors is :
(a + 2)(4a + 3b)
(a - 2)(4a + 3b)
(a - 2)(4a - 3b)
(a + 2)(4a - 3b)

Factorise by taking out the common factors :
2x(a - b) + 3y(5a - 5b) + 4z(2b - 2a)

Factorise by grouping method :
16(a + b)² - 4a - 4b