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2. Information Technology Department
FPMB 0001 – Basic Mathematics
Assignment - 1
Semester 1, 2021-2022
Name ID: Date:
Answer the following questions. Each question carries one mark.
1. Rationalize the denominator:
6(𝑥−3)
√𝑥−√3
=
6(𝑥 − 3)
√𝑥 − √3
.
√𝑥 + √3
√𝑥 + √3
=
6(𝑥−3)(√𝑥+√3)
(√𝑥−√3)(√𝑥+√3)
=
6(𝑥−3)(√𝑥+√3)
√𝑥
2
+√𝑥.3−√𝑥.3−√3
2=
6√(𝑥−3)(√𝑥+√3)
𝑥−3
=
6(√𝑥 + 6√3)=
6√𝑥 + 6√3
2. Solve:
(7𝑥 − 3)
1
4 = 1=
((7𝑥 − 3)
1
4)4
= 14
7x-3=1
X=
4
7

3. 3. Simplify:
√(6𝑎𝑏2𝑐6)2(𝑏𝑐)=
6𝑎𝑏2
𝑐6
√𝑏𝑐.
4. Subtract 𝑥4𝑦 + 2𝑥4 + 𝑥2𝑦2 from (𝑥4 − 3𝑥𝑦3 + 2𝑥𝑦) + (𝑥2𝑦2 + 5𝑥2𝑦3)
(𝑥4 − 3𝑥𝑦3 + 2𝑥𝑦) + (𝑥2𝑦2 + 5𝑥2𝑦3) − (𝑥4𝑦 + 2𝑥4 + 𝑥2𝑦2)=
𝑥4 − 3𝑥𝑦3 + 2𝑥𝑦 + 𝑥2𝑦2 + 5𝑥2𝑦3 − (𝑥4𝑦 + 2𝑥4 + 𝑥2𝑦2)=
𝑥4 − 3𝑥𝑦3 + 2𝑥𝑦 + 𝑥2𝑦2+5𝑥2𝑦3 − 𝑥4y-2𝑥4 − 𝑥2𝑦2=
−𝑥4 − 3𝑥𝑦3 + 2𝑥𝑦 + 5𝑥2𝑦3 − 𝑥4𝑦.
5. Multiply the polynomials:
(
𝑡
3
.
𝑡
3
+
𝑡
3
. 5 + 5
𝑡
3
+ 5.5)(
𝑡
3
− 5)=
(
𝑡2
9
+
10𝑡
3
+ 25) (
𝑡
3
− 5)=
𝑡3
27
+
5𝑡3
9
−
25𝑡
3
− 125.