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MAVERICK [17]
2 years ago
7

Use FOIL to explain how to find the product of (a + b)(a − b). Then describe a shortcut that you could use to get this product w

ithout using FOIL
Mathematics
2 answers:
xenn [34]2 years ago
8 0

Answer:

The product of (a+b)(a-b)  is a^2 - b^2

Step-by-step explanation:

Use FOIL to explain how to find the product of (a + b)(a − b)

FOIL is

Multiply First terms : a*a = a^2

Multiply Outside terms : a* -b = -ab

Multiply Inner  terms : b * a= ab

Multiply last terms : b * -b = -b^2

now we combine all the terms

a^2 -ab+ab - b^2

combine like terms

a^2 - b^2

The product of (a+b)(a-b)  is a^2 - b^2

Shortcut is we apply an identity

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

geniusboy [140]2 years ago
3 0
Product - a^2 +-b^2

a trick to remember foil is
First
Outside
Inside
Last
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6 0
3 years ago
Need help with this....
Yakvenalex [24]

Answer:

\boxed{\dfrac{f(a+h)-f(a)}{h}=-3a^2-3ah-h^2}

Step-by-step explanation:

f(x)=-x^3+2\\\\\dfrac{f(a+h)-f(a)}{h}\\\\f(a+h)\to\text{substitute x = a + h}\\f(a)\to\text{substitute x = a}\\\\\dfrac{f(a+h)-f(a)}{h}=\dfrac{-(a+h)^3+2-(-a^3+2)}{h}\\\\\text{use}\ (x+y)^3=x^3+3x^2y+3xy^2+y^3\\\\=\dfrac{-(a^3+3a^2h+3ah^2+h^3)+2-(-a^3)-2}{h}\\\\=\dfrac{-a^3-3a^2h-3ah^2-h^3+2+a^3-2}{h}\\\\\text{combine like terms}

=\dfrac{(-a^3+a^3)-3a^2h-3ah^2-h^3+(2-2)}{h}\\\\=\dfrac{-3a^2h-3ah^2-h^3}{h}\\\\=\dfrac{h(-3a^2-3ah-h^2)}{h}\\\\=-3a^2-3ah-h^2

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