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lesantik [10]
3 years ago
10

Simplify or factor each expression and then match the equivalent expressions

Mathematics
1 answer:
Vaselesa [24]3 years ago
5 0

Answer:


Step-by-step explanation:

1.  4(2x^{2}+3y^{2})^{2}

=4(4x^{4}+9y^{4}+12x^{2}y^{2})

= 16x^{4}+36y^{4}+48x^{2}y^{2}

2.  4(2x^{2}+3y^{2})(2x^{2}-3y^{2})

=4((2x^{2})^{2}-(3y^{2})^{2})

=4(4x^{4}-9y^{4})

= 16x^{4}-36y^{4}

3.  (4x-5)(16x^{2}+20x+25)

=64x^{3}-80x^{2}+80x^{2}-100x+100x-125

= 64x^{3}-125

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Answer: Angle A = 60°, angle B = 120°, angle C = 60°, angle D = 120°

Step-by-step explanation: Please refer to the attached diagram for further details.

The question has given the parallelogram ABCD as having side AB measuring 6 units, side AK measuring 3 units and line BK has been drawn perpendicular to line AD. This means line AK forms a right angle at the point where it meets line AD. From the information provided and the figure derived from that, we have right angled triangle ABK with the right angle at point K, line AB equals 6 units and line AK equals 3 units.

Using angle A as the reference angle, line AK is the opposite (side facing the reference angle), line AB is the hypotenuse (line facing the right angle) and line AK is the adjacent (side that lies between the right angle and the reference angle).

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The opposite sides of a parallelogram are equal (that is line AD is parallel to line BC) and therefore opposite angles are equal (that is angle A is equal to angle C).

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