Justinism81108idn
Answered

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Sagot :

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Answer:

Sum:

1. 11p²+7p-12

2. 2x²+5z²-z+6

3. 3a²b-7ab²+4ab

4. 2d²+5cd+10c

5. -5x³+y³-4x²y+2y²

Difference:

1. 17p²+7p-12

2. 2x²+5x²+5z

3. 9a²b-7ab²-8ab

4. -7d²+5cd-4c

5. -7x³+y³-6x²y+6xy²-2y²

Step-by-step explanation:

1.) 14p² and -3p²+7p-12

Sum: 14p² + ( -3p²+7p-12)

  • 14p²+-3p²= 11p²

=11p²+7p-12

Difference: 14p² - (-3p²+7p-12)

  • 14p²-(-3p²) = 17p²

=17p²+7p-12

2.) (5z²+2z+3) and (-3z+2x²+3)

Sum: (5z²+2z+3) + (-3z+2x²+3)

  • 2z+-3z= -z, 3+3=6

=2x²+5z²-z+6

Difference: (5z²+2z+3) - (-3z+2x²+3)

  • 2z-(-3z)= 5z, 3-3=0

=2x²+5x²+5z

3.) (9ab-11ab+6a²b) and (6ab-7ab²-3a²b)

Sum: (9ab-11ab+6a²b) + (6ab-7ab²-3a²b)

  • 9ab+6ab-11ab=4ab, 6a²b+(-3a²b)= 3a²b =3a²b-7ab²+4ab

Difference: (9ab-11ab+6a²b) - (6ab-7ab²-3a²b)

  • 9ab-6ab-11ab= -8ab, 6a²b-(-3a²b)= 9a²b

=9a²b-7ab²-8ab

4.) (3c+5cd-3d²) and (7c+5d²)

Sum: (3c+5cd-3d²) + (7c+5d²)

  • 3c+7c=10c, -3d²+5d²= 2d²

=2d²+5cd+10c

Difference: (3c+5cd-3d²) - (7c+5d²)

  • 3c-7c= -4c, -3d²-5d²= -7d²

=-7d²+5cd-4c

5.) (x³-5x²y+3xy²+y³) and (-6x³+x²y-3xy²+2y²)

Sum:

(x³-5x²y+3xy²+y³) + (-6x³+x²y-3xy²+2y²)

  • x³+(-6x³)=-5x³, -5x²y+x²y=-4x²y, 3xy²+(-3xy²)=0

=-5x³+y³-4x²y+2y²

Difference:

(x³-5x²y+3xy²+y³) - (-6x³+x²y-3xy²+2y²)

  • x³-(-6x³)=7x³, -5x²y-x²y= -6x²y, 3xy²-(-3xy²)=6xy²

=-7x³+y³-6x²y+6xy²-2y²

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