(5x-6)(2x-3)(3x+5)^2
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Hi Friend ✋✋✋
( 5x - 6 ) × ( 2x - 3 ) × ( 3x + 5 ) ²
By Distributive property....
= [ 10x² + 18 - 15x - 12x ] × [ 9x² + 25 + 30x ]
= [ 10x² + 18 - 27x ] × [ 9x² + 25 + 30x ]
Again Distributive property....
= 10x² × [ 9x² + 25 + 30x ] + 18 × [ 9x² + 25 + 30x ] - 27x × [ 9x² + 25 + 30x ]
= [ 90x⁴ + 250x² + 300x³ ] + [ 162x² + 450 + 540x ] - [ 243x³ + 675x + 810x² ]
= 90x⁴ + 300x³ - 243x³ + 250x² + 162x² - 810x² + 540x - 675x + 450
= 90x⁴ + 57x - 398x² - 135x + 450
Hope it helps
( 5x - 6 ) × ( 2x - 3 ) × ( 3x + 5 ) ²
By Distributive property....
= [ 10x² + 18 - 15x - 12x ] × [ 9x² + 25 + 30x ]
= [ 10x² + 18 - 27x ] × [ 9x² + 25 + 30x ]
Again Distributive property....
= 10x² × [ 9x² + 25 + 30x ] + 18 × [ 9x² + 25 + 30x ] - 27x × [ 9x² + 25 + 30x ]
= [ 90x⁴ + 250x² + 300x³ ] + [ 162x² + 450 + 540x ] - [ 243x³ + 675x + 810x² ]
= 90x⁴ + 300x³ - 243x³ + 250x² + 162x² - 810x² + 540x - 675x + 450
= 90x⁴ + 57x - 398x² - 135x + 450
Hope it helps
BrainlyHulk:
:-)
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