Answer:
31. B
32. C
33. A
Explanation:
1. Expand the expression using (a+b)^2=a^2+2ab+b^2
(a+5)^2 -> a^2+2ax5+5^2
2. Multiply the monomials.
a^2+2ax5+5^2 -> a^2+10a+5^2
3. Calculate the power.
a^2+10a+5^2 -> a^2+10a+25
Final Answer: a^2+10a+25
a^2 = first term
10a = second term
25 = third term
34. D
(2x-3)^2 -> (2x)^2 - 2 ⋅ 2x ⋅ 3 + 3^2
2. Simplify using exponent rule with same exponent (ab)^n = a^n ⋅ b^n
2^2 ⋅ x^2 - 2 ⋅ 2x ⋅ 3 + 3^2
2^2 ⋅ x^2 - 2 ⋅ 2x ⋅ 3 + 3^2 - > 4x^2 - 2 ⋅ 2x ⋅ 3 + 3^2 -> 4x^2 - 2 ⋅ 2x ⋅ 3 + 9
4. Multiply the monomials.
4x^2 - 2 ⋅ 2x ⋅ 3 + 9 -> 4x^2 - 12x +9
Final Answer: 4x^2 - 12x +9
35. A
hope it helps!!
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Answers & Comments
Answer:
31. B
32. C
33. A
Explanation:
1. Expand the expression using (a+b)^2=a^2+2ab+b^2
(a+5)^2 -> a^2+2ax5+5^2
2. Multiply the monomials.
a^2+2ax5+5^2 -> a^2+10a+5^2
3. Calculate the power.
a^2+10a+5^2 -> a^2+10a+25
Final Answer: a^2+10a+25
a^2 = first term
10a = second term
25 = third term
Answer:
34. D
Explanation:
1. Expand the expression using (a+b)^2=a^2+2ab+b^2
(2x-3)^2 -> (2x)^2 - 2 ⋅ 2x ⋅ 3 + 3^2
2. Simplify using exponent rule with same exponent (ab)^n = a^n ⋅ b^n
2^2 ⋅ x^2 - 2 ⋅ 2x ⋅ 3 + 3^2
3. Calculate the power.
2^2 ⋅ x^2 - 2 ⋅ 2x ⋅ 3 + 3^2 - > 4x^2 - 2 ⋅ 2x ⋅ 3 + 3^2 -> 4x^2 - 2 ⋅ 2x ⋅ 3 + 9
4. Multiply the monomials.
4x^2 - 2 ⋅ 2x ⋅ 3 + 9 -> 4x^2 - 12x +9
Final Answer: 4x^2 - 12x +9
Answer:
35. A
hope it helps!!