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If a2 + b2 = 74 and ab = 35, then find a + b.
Concept: undefined >> undefined
Verify the following:
(a + b)(a + b)(a + b) = a3 + 3a2b + 3ab2 + b3
Concept: undefined >> undefined
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Verify the following:
(5x + 8)2 – 160x = (5x – 8)2
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Verify the following:
(7p – 13q)2 + 364pq = (7p + 13q)2
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What should be added to 4c(– a + b + c) to obtain 3a(a + b + c) – 2b(a – b + c)?
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Factorise `x^2 + 1/x^2 + 2 - 3x - 3/x`.
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Factorise p4 + q4 + p2q2.
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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 × x) representing x2, R(x × 1) representing x and Y(1 × 1) representing 1] to factorise the following expressions, by arranging the cards in the form of rectangles:
- 2x2 + 6x + 4
- x2 + 4x + 4.
Factorise 2x2 + 6x + 4 by using the figure.
Calculate the area of figure.
Concept: undefined >> undefined
Take suitable number of cards given in the adjoining diagram [G(x × x) representing x2, R(x × 1) representing x and Y(1 × 1) representing 1] to factorise the following expressions, by arranging the cards in the form of rectangles: x2 + 4x + 4. Factorise 2x2 + 6x + 4 by using the figure.
Calculate the area of figure.
Concept: undefined >> undefined
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In the trapezium ABCD, the measure of ∠D is ______.
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If two adjacent angles of a parallelogram are in the ratio 2 : 3, then the measure of angles are ______.
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Two adjacent angles of a parallelogram are in the ratio 1:5. Then all the angles of the parallelogram are ______.
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Adjacent angles of a parallelogram are ______.
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Two adjacent angles of a parallelogram are in the ratio 1:3. Find its angles.
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The adjacent angles of a parallelogram are (2x – 4)° and (3x – 1)°. Find the measures of all angles of the parallelogram.
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In parallelogram ABCD, find ∠B, ∠C and ∠D.
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Draw a circle of radius 3 cm and draw its diameter and label it as AC. Construct its perpendicular bisector and let it intersect the circle at B and D. What type of quadrilateral is ABCD? Justify your answer.
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Square of 3x – 4y is ______.
Concept: undefined >> undefined
