Which of the expressions below can be factored using the difference of squares method?
1 answer:
Answer:
<em>The second choice is correct. It can be factored as:</em>
Step-by-step explanation:
<u>The Difference of Squares Method for Factoring</u>
The expression:
Is a widely used method to factor binomials that are expressed as the subtraction of two perfect squares.
The condition for a binomial to be factored by using this method is that both terms must have an exact square root and they must be subtracted.
The last two choices are not valid because they are not a subtraction but an addition.
The first choice is not valid because none of the terms is a perfect square.
The second choice is correct. It can be factored as:
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Answer:
(5 square root 2-4 square root 3) (5 square root 2-4 square root 3)
= 98 - 40
Step-by-step explanation:
i) (5 - 4
) × (5√2 - 4√3)
=(5 × 5
) - (5
× 4
) - (4
× 5
) + (4
× 4
)
= 50 - 20 - 20
+ 48
= 98 - 40
Answer:
f(- 2) = 8
Step-by-step explanation:
Evaluating for x = - 2
f(- 2) = 2 - 4(- 2)³ - 11(- 2)² + 3(- 2) - 6
= (2 × 16) + (- 4 × - 8) + (- 11 × 4) - 6 - 6
= 32 + 32 - 44 - 6 - 6 = 8