Question

multiply (5x²–3+2) by (x²+2x–6)​

Answer 1

$5 {x}^{2} ( {x}^{2} + 2x - 6) - 1( {x}^{2} + 2x - 6)$

$5 {x}^{4} + 10 {x}^{3} - 30 {x}^{2} - {x}^{2} + 2x - 6$

${5x}^{4} + 10 {x}^{3} - 31 {x}^{2} + 2x - 6$

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Answer 2

Answer:

Step-by-step explanation:

( x² + 2x - 6) × ( 5x² - 3x + 2 )

= x² ( 5x²-3x + 2) + 2x ( 5x²- 3x + 2 ) - 6 ( 5x² - 3x + 2 )

= 5x⁴ - 3x³ + 2x² + 10x³ - 6x² + 4x - ( 30x² - 18x + 12 )

= 5x⁴ - 3x³ + 2x² + 10x³ - 6x² + 4x - 30x² + 18x - 12 ( ∵- × + = - ; - × - = + )

= 5x⁴ + ( -3x³+ 10x³ ) + ( 2x² - 6x² - 30x² ) + ( 4x + 18x ) - 12

= 5x⁴ + 7x³ + ( - 34x² ) + 22x - 12

= 5x⁴ + 7x³ - 34x² + 22x - 12 is the answer. ( ∵ + × - = - )