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16 questions
Expand the expression using the Binomial Theorem.
(2x+5)4
2x4 + 40x3 + 300x2 + 1000x +625
16x4 + 160x3 +600x2 +1000x + 625
16x4 + 1000x3 + 600x2 + 160x +625
Expand: (a+b)2
a2+ab+b2
a2+2ab+b2
a2−ab+b2
a2−2ab+b2
Choose the right Pascal's triangle
Expand: (a−b)5
a5+5a4b+10a3b2+10a2b3+5ab4+b5
a5−5a4b+10a3b2−10a2b3+5ab4−b5
a5−5a4b+10a2b3−10a3b2+5ab4−b5
a5−5a4b−10a3b2−10a2b3−5ab4−b5
Use the binomial theorem to expand (4−2z)3
64−96z+48z2+8z3
64−96z+48z2−8z3
64+96z+48z2+8z3
64−64z+144z2−8z3
Find the product:
(3x2 – 1)(3x2 + 5x+4)
6x2 + 4x + 5
9x4 + 15x3 - 4x
6x2 + 15x3 - 20x2 - 5x + 4
9x4 + 15x3 - 9x2 - 5x - 4
Kamali has 7 unique bracelets and is trying to decide which 3 to wear on a date. Use Pascal's Triangle to find the number of different combinations of 3 bracelets that Kamali could choose from the 7 she owns?
7
21
35
1
Kamali has 6 unique bracelets and is trying to decide which 3 to wear on a date. Use Pascal's Triangle to find the number of different combinations of 3 bracelets that Kamali could choose from the6 she owns?
1
6
15
20
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