Which expression is a difference of squares with a factor of 2x + 5? 4x2 + 10 4x2 – 10 4x2 + 25 4x2 – 25

Mathematics

2 answers:

Naily [24]3 years ago

7 0

Answer:

The required expression is $4x^2-25$

Step-by-step explanation:

The difference of squares formula is given by

$(a+b)(a-b)=a^2-b^2$

We have been given that one factor is 2x+5. Hence, a = 2x, b = 5

It means that other factor must be (a-b) = (2x-5)

Hence, in order to find the expression, we can multiply the factors.

$(2x+5)(2x-5)$

Using the difference of squares formula

$(2x+5)(2x-5)\\\\=(2x)^2-5^2\\\\4x^2-25$

Therefore, the required expression is $4x^2-25$

aleksley [76]3 years ago

5 0

I hope this helps you

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2 years ago

Read 2 more answers

Question 4

Irina-Kira [14]

Answer: No, Titus is incorrect.

Step-by-step explanation: Two shapes are congruent when they have the same size and shape, but one is created of rotation, reversion or translation of the other.

So, hexagons FEDCBA and F'E'D'C'B'A' are congruent because they have the same size and shape, however they are reversed and translated from each other, i.e.:

Comparing the coordinates of both hexagons:

F (-6,6) → F' (6, -4)

A (-10,6) → A' (10,-4)

E (-4,4) → E' (4, -6)

B (-12,4) → B' (12, -6)

D (-6,2) → D' (6, -8)

C (-10,2) → C' (10, -8)

We notice that the transformation necessary to transform FEDCBA into F'E'D'C'B'A' is