Question

(4x²-9x+7)(x²+5x-1)-(5x²-4x+5)=?
please solve this​

Answer 1

Answer -

• 4x⁴ + 11x³ - 47x² + 48x - 12.

To simplify -

• (4x² - 9x + 7) (x² + 5x - 1) - (5x² - 4x + 5).

Step-by-step explanation -

• Let's simplify the given algebraic expression step-by-step!

$\longmapsto$ (4x² - 9x + 7) (x² + 5x - 1) - (5x² - 4x + 5)

$\longmapsto$ 4x² (x² + 5x - 1) - 9x (x² + 5x - 1) + 7 (x² + 5x - 1) - (5x² - 4x + 5)

$\longmapsto$ (4x⁴ + 20x³ - 4x² - 9x³ - 45x² + 9x + 7x² + 35x - 7) - (5x² - 4x + 5)

$\longmapsto$ (4x⁴ + 11x³ - 42x² + 44x - 7) - (5x² - 4x + 5)

$\longmapsto$ 4x⁴ + 11x³ - 42x² + 44x - 7 - 5x² + 4x - 5

$\longmapsto$ 4x⁴ + 11x³ - 47x² + 48x - 12

Hence -

• The answer is 4x⁴ + 11x³ - 47x² + 48x - 12.

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Note - Here, we first multiplied 4x² - 9x + 7 with x² + 5x - 1 and then subtracted 5x² - 4x + 5 from it (While performing subtraction, we also changed the sign of each term to be subtracted, and then added the like terms).