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How do you multiply #(7q - 5)(7q + 5)#?

Answer 1

Hazel Anglin

#=49q^2 -25#

#(7q-5) (7q+5)#

The above expression is of the form: #color(blue)((a-b)(a+b) = a^2-b^2#

Applying the above property:

#7q = color(blue)(a# #5 = color(blue)(b#

#(7q-5) (7q+5) = (7q)^2 - 5^2#

#=49q^2 -25#

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Answer 2

Ethan Adkins

To multiply (7q - 5)(7q + 5), you can use the distributive property or the FOIL method. FOIL stands for First, Outer, Inner, Last, which helps organize the multiplication process.

First, multiply the first terms of each binomial: (7q)(7q) = 49q^2. Outer, multiply the outer terms: (7q)(5) = 35q. Inner, multiply the inner terms: (-5)(7q) = -35q. Last, multiply the last terms: (-5)(5) = -25.

Combine the like terms: 35q - 35q = 0.

So, the expression simplifies to 49q^2 - 25.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.