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2 years ago

PLEASE HELP!!!!!!

Mathematics

1 answer:

slava [35]2 years ago

3 0

9514 1404 393

Answer:

A: (3x +4)

B: (4x +5y) × (4x -5y)

Step-by-step explanation:

Part A:

Since we know the trinomial is a perfect square, we know the terms of each binomial factor are the square roots of the first and last terms of the trinomial.

9x² +24x +16 = (√(9x²) +√16)² = (3x +4)²

The side of the square is 3x+4.

Part B:

The difference of squares is factored like this:

a²-b² = (a +b)(a -b)

The given area expression is the difference of squares with ...

a = 4x, b = 5y

so, the factorization is ...

16x² -25y² = (4x +5y)(4x -5y)

The dimensions of the rectangle are (4x+5y) by (4x-5y).

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Division
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Left to Right

Equality Properties

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