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just olya [345]
2 years ago
13

A rectangle has a height of 7 and a width of a^4+5a^2+4a .

Mathematics
2 answers:
MariettaO [177]2 years ago
8 0

Answer:

7a^6+35a^4+28a^2

Step-by-step explanation:

7a^2(a^4+5a^2+4)

boyakko [2]2 years ago
5 0

Answer:

  7a^4 +35a^2 +28a

Step-by-step explanation:

Area is the product of height and width:

  area = height × width

  = 7 × (a^4 +5a^2 +4a)

  area = 7a^4 +35a^2 +28a . . . . . . use the distributive property

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This is the 'Difference of Squares' formula we can use to factor the expression.

In order to use the </span><span>'Difference of Squares' formula to factor a binomial, the binomial must contain two perfect squares that are separated by a subtraction symbol.

</span><span>x^2 - 4 fits this, because x^2 and 4 are both perfect squares, and they are separated by a subtraction symbol.
All you do here to factor, is take the square root of each term.

√x^2 = x
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Now that we have our square roots, x and 2, we substitute these numbers into the form (a + b)(a - b).
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<span>(a + b)(a - b)
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Our answer is final </span><span>(x + 2)(x - 2), which can also be written as (x - 2)(x + 2), it doesn't make a difference which order you put it in.

Anyway, Hope this helps!!
Let me know if you need help understanding anything and I'll try to explain as best I can.</span>
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