Question

2. Realiza la siguiente suma de polinomios:

a (3x3 + 2x2 +5X) + (5x3 + 7X2 + 8X)

b. (32552.6a3-9b) + (5x5b2 + 7a3.4b)

c. 6. 4x5.5x4 - 2x3) + (8x4 +
10x3 + 6x3 - 5)

d. (x3y + 2x2.5x) + (-6X3y - 2x2 - x + 1)

e (4x2.5X + 8) + (- 8x2 +10)
​

Answer 1

Respuesta:

a.  (3x3 + 2x2 +5X) + (5x3 + 7X2 + 8X)$\left(3x\cdot \:3+2x\cdot \:2+5x\right)+\left(5x\cdot \:3+7x\cdot \:2+8x\right)$

$3x\cdot \:3+2x\cdot \:2+5x+5x\cdot \:3+7x\cdot \:2+8x$

$3\cdot \:3x+2\cdot \:2x+13x+5\cdot \:3x+7\cdot \:2x$

$9x+4x+13x+15x+14x$

$RTA: 55x$

b. (32552.6a3-9b) + (5x5b2 + 7a3.4b)

$32552.6a\cdot \:3-9b+5x\cdot \:5b\cdot \:2+7a\cdot \:3.4b$

$97657.8a-9b+5\cdot \:5\cdot \:2bx+7\cdot \:3.4ab$

$97657.8a-9b+50bx+7\cdot \:3.4ab$

$Rta: 97657.8a-9b+50bx+23.8ab$

c. (6. 4x5.5x4 - 2x3) + (8x4 +  10x3 + 6x3 - 5)$64x\cdot \:5.5x\cdot \:4-2x\cdot \:3+8x\cdot \:4+10x\cdot \:3+6x\cdot \:3-5$

$1408x^2-6x+32x+30x+18x-5$

$Rta: 1408x^2+74x-5$

d. (x3y + 2x2.5x) + (-6X3y - 2x2 - x + 1)

$(x3y + 2x2.5x) + (-6X3y - 2x2 - x + 1)$

$3xy+5x^2-18xy-4x-x+1$

$5x^2+3xy-18xy-4x-x+1$

$5x^2+3xy-18xy-5x+1$

$Rta: 5x^2-15xy-5x+1$

e. (4x2.5X + 8) + (- 8x2 +10)

$4x\cdot \:2.5x+8-8x\cdot \:2+10$

$10x^2+8-16x+10$

$10x^2-16x+18$

Explicación paso a paso: