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Using suitable identities, evaluate the following.
52 × 53
Concept: undefined >> undefined
Using suitable identities, evaluate the following.
105 × 95
Concept: undefined >> undefined
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Carry out the following division:
51x3y2z ÷ 17xyz
Concept: undefined >> undefined
Carry out the following division:
76x3yz3 ÷ 19x2y2
Concept: undefined >> undefined
Carry out the following division:
17ab2c3 ÷ (–abc2)
Concept: undefined >> undefined
Carry out the following division:
–121p3q3r3 ÷ (–11xy2z3)
Concept: undefined >> undefined
Perform the following division:
(3pqr – 6p2q2r2) ÷ 3pq
Concept: undefined >> undefined
Perform the following division:
(ax3 – bx2 + cx) ÷ (– dx)
Concept: undefined >> undefined
Perform the following division:
(x3y3 + x2y3 – xy4 + xy) ÷ xy
Concept: undefined >> undefined
Perform the following division:
(– qrxy + pryz – rxyz) ÷ (– xyz)
Concept: undefined >> undefined
Match the expressions of column I with that of column II:
| Column I | Column II |
| (1) (21x + 13y)2 | (a) 441x2 – 169y2 |
| (2) (21x – 13y)2 | (b) 441x2 + 169y2 + 546xy |
| (3) (21x – 13y)(21x + 13y) | (c) 441x2 + 169y2 – 546xy |
| (d) 441x2 – 169y2 + 546xy |
Concept: undefined >> undefined
Use a suitable identity to get the following products.
(x + 3) (x + 3)
Concept: undefined >> undefined
Use a suitable identity to get the following products.
(2y + 5) (2y + 5)
Concept: undefined >> undefined
Use a suitable identity to get the following products
(2a − 7) (2a − 7)
Concept: undefined >> undefined
Use a suitable identity to get the following products.
`(3a - 1/2)(3a - 1/2)`
Concept: undefined >> undefined
Use a suitable identity to get the following products.
(1.1m − 0.4) (1.1 m + 0.4)
Concept: undefined >> undefined
Use a suitable identity to get the following products.
(a2 + b2) (− a2 + b2)
Concept: undefined >> undefined
Use a suitable identity to get the following products.
(6x − 7) (6x + 7)
Concept: undefined >> undefined
Use a suitable identity to get the following products.
(− a + c) (− a + c)
Concept: undefined >> undefined
Use a suitable identity to get the following products.
`(x/2 + (3y)/4)(x/2 + (3y)/4)`
Concept: undefined >> undefined
