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Find the value of a, if `pq^2a = (4pq + 3q)^2 – (4pq –
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Jan 17, 2022
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What should be added to `4c (– a + b + c)` to obtain `3a (a + b + c) – 2b(a – b +
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Subtract `b (b^2 + b – 7) + 5` from `3b^2 – 8` and find the value of expression obtained for `b = –
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If `x-1/x=7` then find the value of
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Factorise
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Factorise `p^4 + q^4 +
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Find the value of (i) `(6.25 6.25 –1.75 1.75)/4.5` (ii) `(198 198 –102
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The product of two expressions is `x^5 + x^3 + x`. If one of them is `x^2 + x+ 1`, find the
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Find the length of the side of the given square if area of the square is 625 square units and then find the value of x.
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Take suitable number of cards given in the adjoining diagram [G`(x xx x)` representing `x^2`, R `(x xx 1)` representing x and Y `(1 xx 1)` representing 1] to factorise the following expressions, by arranging the cards in the form of rectangles: (i) `2x^2 + 6x + 4` (ii) `x^2 + 4x + 4`. Factorise `2x^2 + 6x + 4` by using the figure.
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The figure shows the dimensions of a wall having a window and a door of a room. Write an algebraic expression for the area of the wall to be painted.
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Match the expressions of column I with that of column II: Column I Column II (1) `(21x + 13y)^2` (a) `441x^2 – 169y^2` (2) `(21x – 13y)^2` (b) `441x^2 + 169y^2 + 546xy` (3) `(21x – 13y) (21x + 13y)` (c) `441x^2 + 169y^2 – 546xy` (d) `441x^2 – 169y^2 + 546xy`
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A shirt with marked price Rs 800 was sold at Rs 680. The rate of discount allowed on the shirt
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If `7/3%` of a number is 42, then the number
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If the cost price of 10 shirts is equal to the selling price of 8 shirts, then which of the following is true for the
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Rs 1600 lent at a compound interest of 5% per annum, compounded half yearly for one year will amount
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By selling 50 pens, a shopkeeper lost the amount equal to the selling price of 10 pens. His loss per cent is
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The discount per cent is calculated on the _________ price of an
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Amna purchased a toy for Rs 660 including sales tax. If the rate of sales tax is 10%, then the selling price of the toy is
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When the interest is compounded half yearly, the number of conversion periods in a year is
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