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Katarina [22]
3 years ago
5

How can you write (x-3)(x+4)-18 as a product of two binomials? Please show work please help

Mathematics
1 answer:
svetlana [45]3 years ago
5 0

Answer:

(b)  (x-3)(x+4)-18 = (x+6)(x-5)

Step-by-step explanation:

Here , the given expression is P(x) = (x-3)(x+4)-18

Simplifying the given expression ,we get:

(x-3)(x+4)-18 = x(x+4) -3(x+4) -18\\=x^2 + 4x-3x-12-18\\=x^2+x-30\\=x^2 +6x-5x-30\\=x(x+6)-5(x+6)\\=(x+6)(x-5)\\\implies  (x-3)(x+4)-18 = (x+6)(x-5)

So,the given polynomial P(x) can also be written as (x+6)(x-5)

Hence, P(x) = (x-3)(x+4)-18 = (x+6)(x-5)

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4 0
2 years ago
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