CBSE CLASS 10 BOARD 2024 ALL IMPORTANT QUESTIONS

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1. Express the following as in the form of (a+b)(a-b)
(i) a2 – 64
(ii) 20a2 – 45b2
(iii) 32x2y2 – 8
(iv) x2 – 2xy + y2 – z2
(v) 49x2 – 1
2. Find the common factors of the following:
(i) 6 xyz, 24 xy2 and 12 x2y
(ii) 3x2 y3, 10x3 y2 and 6x2 y2 z
3. Factorize the following expressions:
(i) 54x3y + 81x4y2
(ii) 14(3x – 5y)3 + 7(3x – 5y)2
(iii) 15xy + 15 + 9y + 25x
4. Factorize x2 + 6x – 16
5. Solve for (4x2 – 100) ÷ 6(x + 5)
6.Find the common factors of the following terms.
(a) 25x2y, 30xy2
(b) 63m3n, 54mn4
7.Factorise the following polynomials.
(a) 6p(p – 3) + 1 (p – 3)
(b) 14(3y – 5z)3 + 7(3y – 5z)2
8.Factorise the following:
(a) p2q – pr2 – pq + r2
(b) x2 + yz + xy + xz
9.Factorise
(a) a2 + 14a + 48
(b) m2 – 10m – 56
10.Factorise the following polynomials.
(a) 16x4 – 81
(b) (a – b)2 + 4ab
11.Evaluate the following divisions:
(a) (3b – 6a) ÷ (30a – 15b)
(b) (4x2 – 100) ÷ 6(x + 5)
12.Simplify the following expressions:
13.Factorise the given expressions and divide that as indicated.
(a) 39n3(50n2 – 98 ) ÷ 26n2(5n – 7)
(b) 44(p4 – 5p3 – 24p2) ÷ 11p(p – 8)
14. Simplify: –45p3 ÷ 9p2
15. Simplify: 4x2y2(3z – 24), 36xy(z – 8)
16. Divide: 81x3(50x2 – 98) by 27x2 (5x + 7)
17. Which of the following is the remainder when z(5z2 – 80) is divided by 5z(z – 4):
In Question 20 I am facing problem
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