Answer:

Explanation:

1Ans Area of ∆ ABC = 1/2×4×1

= 2cm²

Area of ∆ ADC = 1/2×4×2

= 4cm²

Area = 4+2 = 6cm²

2Ans Each vertex meets three faces and three edges. Cuboid: A three-dimensional figure which has three pairs of rectangular faces attached opposite to each other. These opposite faces are the same. Out of these six faces, two can be squares.

3Ans 14a²b = 2×7×a×a×b

35a⁴b² = 5×7×a×a×a×a×b×b

Common factors = 7×a×a×b = 7a²b

4Ans Image

II Answer the following:

1Ans Image

2Ans Image

3Ans 3m²+9m+6

= 3m²+6m+3m+6

= 3m (m+2)+3(m+2)

= (3m+3) (m+2)

= 3(m+1) (m+2)

Factor of 3m²+9m+6

= 3(m+2) (m+1)

4Ans a²-2ab+b²-c²

=> (a-b-c) (a-b+c) [(A-B )²= A²-2AB +B²]

Ans (a-b-c) (a-b+c) [a²-b²=(a-b) (a+b)]

5Ans Area of trapezium =34cm²

=> Area of trapezium = 1/2×(l¹+l²)×h

=> 34=1/2×(10+x) ×4

34=1/2×(40+4x)

=> 34=20+2x

=> x= 7

III Answer the following:

1Ans I don't know sorry

2Ans x⁴ -(x-z)⁴

= (x²)² - {(x-z)²}²

= (x²+(x-z)²) (x²-(x-z)²)²

= (x²+x²-2xz+z²) (x+x-z) (x-x+z)

=(2x² -2xz +z²) (2x-z) (z)

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