(10x+y)(3x+2y)-( 5x-4y)(-x-6y)

asked by guest
on Apr 02, 2025 at 10:10 pm



You asked:

Evaluate the expression: (10x+y)(3x+2y)−(5x−4y)(−x−6y)\left(10 x + y\right) \left(3 x + 2 y\right) - \left(5 x - 4 y\right) \left(-x - 6 y\right)

MathBot Answer:

Evaluated



(10x+y)(3x+2y)−(5x−4y)(−x−6y)=−(−x−6y)(5x−4y)+(3x+2y)(10x+y)\displaystyle \left(10 x + y\right) \left(3 x + 2 y\right) - \left(5 x - 4 y\right) \left(-x - 6 y\right) = - \left(- x - 6 y\right) \left(5 x - 4 y\right) + \left(3 x + 2 y\right) \left(10 x + y\right)

Expanded

(10x+y)(3x+2y)−(5x−4y)(−x−6y)=35x2+49xy−22y2\left(10 x + y\right) \left(3 x + 2 y\right) - \left(5 x - 4 y\right) \left(-x - 6 y\right) = 35 x^{2} + 49 x y - 22 y^{2}

Factored

(10x+y)(3x+2y)−(5x−4y)(−x−6y)=35x2+49xy−22y2\left(10 x + y\right) \left(3 x + 2 y\right) - \left(5 x - 4 y\right) \left(-x - 6 y\right) = 35 x^{2} + 49 x y - 22 y^{2}

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