Question

Alguien me Ayuda por fa​

Answer 1

Respuestas:

a. (2x³+3y²)(5x²-3x²y³) = $2x^3\cdot \:5x^2+2x^3\left(-3x^2y^3\right)+3y^2\cdot \:5x^2+3y^2\left(-3x^2y^3\right)=10x^5-6x^5y^3+15y^2x^2-9y^5x^2$

b. (3x⁴+2x²y)(2x²-5y²-3x) = $3x^4\cdot \:2x^2+3x^4\left(-5y^2\right)+3x^4\left(-3x\right)+2x^2y\cdot \:2x^2+2x^2y\left(-5y^2\right)+2x^2y\left(-3x\right)=6x^6-15x^4y^2-9x^5+4x^4y-10x^2y^3-6x^3y$

c. (-8xy²-2xy)(7x²y²+6y³) = $-8xy^2\cdot \:7x^2y^2-8xy^2\cdot \:6y^3-2xy\cdot \:7x^2y^2-2xy\cdot \:6y^3=-56x^3y^4-48xy^5-14x^3y^3-12xy^4$

d. (10x⁵+6x²y²)(4x³ + 7y²x³) = $10x^5\cdot \:4x^3+10x^5\cdot \:7y^2x^3+6x^2y^2\cdot \:4x^3+6x^2y^2\cdot \:7y^2x^3=40x^8+70x^8y^2+24x^5y^2+42x^5y^4$

e. (11x²-9y)(2xy³-3x³) = $11x^2\cdot \:2xy^3+11x^2\left(-3x^3\right)-9y\cdot \:2xy^3-9y\left(-3x^3\right)=22x^3y^3-33x^5-18xy^4+27x^3y$

f. (5x³y³+2y⁴)(10x² + 2y³x²) = $5x^3y^3\cdot \:10x^2+5x^3y^3\cdot \:2y^3x^2+2y^4\cdot \:10x^2+2y^4\cdot \:2y^3x^2=50x^5y^3+10x^5y^6+20y^4x^2+4y^7x^2$

g. (13x² + 7y³z²)(-2x²-3y³z²) = $13x^2\left(-2x^2\right)+13x^2\left(-3y^3z^2\right)+7y^3z^2\left(-2x^2\right)+7y^3z^2\left(-3y^3z^2\right)=-26x^4-39x^2y^3z^2-14y^3z^2x^2-21y^6z^4$

h. (20x³-2y³x²)(5x³y² - 4xy) = $20x^3\cdot \:5x^3y^2+20x^3\left(-4xy\right)-2y^3x^2\cdot \:5x^3y^2-2y^3x^2\left(-4xy\right)=100x^6y^2-80x^4y-10y^5x^5+8y^4x^3$

i. (4x²yz + 5xz³) (7x³-6yz²) = $4x^2yz\cdot \:7x^3+4x^2yz\left(-6yz^2\right)+5xz^3\cdot \:7x^3+5xz^3\left(-6yz^2\right)=28x^5yz-24x^2y^2z^3+35x^4z^3-30xyz^5$

j. (18x³-2yz²)(2x³y + 4z³) = $18x^3\cdot \:2x^3y+18x^3\cdot \:4z^3-2yz^2\cdot \:2x^3y-2yz^2\cdot \:4z^3=36x^6y+72x^3z^3-4y^2z^2x^3-8yz^5$

k. (-7x³+ 3y²)(5x-4y³) = $-7x^3\cdot \:5x-7x^3\left(-4y^3\right)+3y^2\cdot \:5x+3y^2\left(-4y^3\right)=-35x^4+28x^3y^3+15xy^2-12y^5$

l. (-2x⁵y³+ 4x²y²)(10+ 2xy) = $-2x^5y^3\cdot \:10-2x^5y^3\cdot \:2xy+4x^2y^2\cdot \:10+4x^2y^2\cdot \:2xy=-20x^5y^3-4x^6y^4+40x^2y^2+8x^3y^3$

m. (-0,5xy-0,5x²y)(10xy²+10x²y²) =  $-0.5xy\cdot \:10xy^2-0.5xy\cdot \:10x^2y^2-0.5x^2y\cdot \:10xy^2-0.5x^2y\cdot \:10x^2y^2=-5x^2y^3-10x^3y^3-5x^4y^3$

n. (-2x³y²-0,3y)(0,4x²y² - 0,6y³) = $-2x^3y^2\cdot \:0.4x^2y^2-2x^3y^2\left(-0.6y^3\right)-0.3y\cdot \:0.4x^2y^2-0.3y\left(-0.6y^3\right)=-0.8x^5y^4+1.2x^3y^5-0.12y^3x^2+0.18y^4$