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2 years ago

Can (5z+3)(-5z-3) result in a difference of squares

Mathematics

1 answer:

castortr0y [4]2 years ago

8 0

Answer:

no, it cannot

Step-by-step explanation:

a difference of square is: a² - b² = (a - b)(a + b)

looking at the expression (5z+3)(-5z-3), we see that it does not fit the criteria of the breakdown of a perfect square, as (-5z-3) has a negative <em>a</em> term (-5z)

if we FOILed (5z+3)(-5z-3) out, we would get:

-25z² - 30z - 9, which is not a difference of squares

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Solve the system of equations:

iVinArrow [24]

$(-1,-2) \: \: \: \: \: and \: \: \: \: \: (3,6) \\ Answer: A$

Step-by-step explanation:

$y = 2x \\ y = {x}^{2} - 3 \\ \\ 2x = {x}^{2} - 3 \\ {x}^{2} - 2x - 3 = 0 \\ (x + 1)(x - 3) = 0 \\ x + 1 = 0 \: \: \: \: \: or \: \: \: \: \: x - 3 = 0 \\ x = - 1 \: \: \: \: \: or \: \: \: \: \: x = 3$

When x = -1

Substitute x = -1 into y = 2x

y = 2(-1)

y = -2

( -1, -2)

When x = 3

Substitute x = 3 into y = 2x

y = 2(3)

y = 6

( 3, 6)

5 0

3 years ago

Factorise : x^2+x-72 Step by Step

Ivan

Answer:

(x + 9)(x - 8)

Step-by-step explanation:

f(x) = x^2 + x - 72

= x^2 - 8x + 9x - 72

= (x^2 - 8x) + (9x - 72)

= x(x - 8) + 9(x - 8)

= (x + 9)(x - 8)

4 0

2 years ago

Read 2 more answers

Can you help me please?

Kamila [148]

Answer: The set of all possible input values

Step-by-step explanation:

7 0

3 years ago

32 small bags of soil are needed to fill three clay pots how many small bags of soil should be purchased to fill 8 clay pots

lapo4ka [179]

Answer:

i think

Step-by-step explanation:

4 0

3 years ago

The perimeter of triangle RXA is 24. If RX = 4 and RA = 11, find XP and PA

Tju [1.3M]

8 is the answer because when you add 11+4 you get 16 and then you would subtract that from 24 which would give you 8. Idk where you got "PA" ?

8 0

3 years ago