Question

Find the sum of following polynomials

a) 2p3 + q3 - 14pq - 2q and -p3 - 10q3 + 9p2q + 2pq - 12p + 12q - 18
b) 9x2y - 3xy2 - 8x + 14y - 16 and 12x3 + 4y3 - 12x2y - 4xy + 9

Answer 1

`\boxed{\bold{\sf{ a. ~p^(3) - 9q^(3) + 9p^(2)q - 12pq + 10q - 12p - 18 }}}`

`\bold{\boxed{\sf{b.~12x^(3) + 4y^(3)-3x^(2) y - 3xy^(2) - 4xy - 8x + 14y - 7 }}}`

Step by step explanation

See attached picture.

For the addition and subtraction of algebraic expressions,like terms are added or subtracted as per the signs given and unlike terms are kept as they are. The sum or difference of like terms give another like term in which it's coefficient is sum or difference of their coefficient.Remember the following facts of addition and subtraction :

Like terms can be added or subtracted. Only coefficients of like terms can be added or subtracted. In horizontal method , expressions are arranged in same row and put sign for addition or sign for subtraction and remove the bracket and then simplify.

Hope I helped!

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~TheAnimeGirl

Answer 2

The answer fam is......... A) p^3−9q^3−12pq+9p^2q−12p+10q−18

B) 12x^3−3x^2y−3xy^2+4y^3−4xy−8x+14y−7