3. Multiply the following polynomials.
a) (5 - d²+ 2d)(2d-1)
b) pq(p² - q² +1)
c) (x²-y²)(4x³-y³)
d) ((9/11 a - 2/33 b)) (a+b)
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Answer:
a)2d^3+5d^2+8d-5
b)p^3q-q^3p+pq
c)4x^5-4x^3y^2-x^2y^3+y^5
d)9/11 a^2 +25/33 ab - 2/33 b^2
Step-by-step explanation:
a) (5-d^2+2d)(2d-1)
10d-2d^3+4d^2-5+d^2-2d
2d^3+5d^2+8d-5
b)pq(p^2-q^2+1)
p^3q-q^3p+pq
c)(x^2-y^2)(4x^3-y^3)
4x^5-4x^3y^2-x^2y^3+y^5
d)(9/11 a - 2/33 b)(a+b)
9/11 a^2 - 2/33 ab + 9/11 ab - 2/33 b^2
9/11 a^2 +25/33 ab - 2/33 b^2
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