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Use the identity `(x + a) (x + b) = x^2 + (a + b) x + ab` to find the following products. (4x + 5) (4x +
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Find the following squares by using the identities. `(b –
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Simplify. `(m^2 – n^2m)^2 +
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Using `a^2 – b^2 = (a + b) (a – b)`, find `(1.02)^2 –
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Draw the front view, side view and top view of the given objects. A military tent -(b) A table
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The shape of the top surface of a table is a trapezium. Find its area if its parallel sides are 1 m and 1.2 m and perpendicular distance between them is 0.8 m.
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The internal measures of a cuboidal room are `12 m xx 8 m xx 4 m`. Find the total cost of whitewashing all four walls of a room, if the cost of white washing is Rs 5 per `m^2`. What will be the cost of white washing if the ceiling of the room is also whitewashed.
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Express the following numbers in usual form. `7.54 xx 10^(– 4)`
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Express the following numbers in standard form.
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Common factor of `11pq^2, 121p^2q^3, 1331p^2q` is
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Add: `2p^4 – 3p^3 + p^2 – 5p +7, –3p^4 – 7p^3 – 3p^2 – p –
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Multiply the following: `–5a^2bc, 11ab,
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Expand the following, using suitable identities. `x^2y^2 =
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Factorise the following, using the identity `a^2 + 2ab + b^2 = (a + b)^2` `x^2 + 12x +
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Factorise the following, using the identity `a^2 + 2ab + b^2 = (a + b)^2` `a^2x^3 + 2abx^2 +
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Factorise the following, using the identity `a^2 + 2ab + b^2 = (a + b)^2` `9x^2 + 2xy
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Factorise the following using the identity `a^2 – b^2 = (a + b) (a – b)`. `p^5 –
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Perform the following divisions: `(ax^3 – bx^2 + cx) -: (–
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Factorise the expressions and divide them as directed: `(9x^2 – 4) -: (3x +
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Factorise the expressions and divide them as directed: `(3x^2 – 48) -: (x –
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