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What is the product of (x + a) and (x + b)?
- a)x2 + (a – b) x + ab
- b)x2 – (a + b) x + ab
- c)x2 + (a + b) x – ab
- d)x2 + (a + b) x + ab.
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
What is the product of (x + a) and (x + b)?a)x2 + (a – b) x + ab...
B)x ab
To multiply two binomials, we use the FOIL method, which stands for First, Outer, Inner, Last.
First: Multiply the first terms of each binomial together: x * x = x^2
Outer: Multiply the outer terms of each binomial together: x * b = bx
Inner: Multiply the inner terms of each binomial together: a * x = ax
Last: Multiply the last terms of each binomial together: a * b = ab
Now we add up all of these products:
x^2 + bx + ax + ab
We can simplify this by combining the bx and ax terms:
x^2 + (a+b)x + ab
So the product of (x+a) and (x+b) is x^2 + (a+b)x + ab.
To multiply two binomials, we use the FOIL method, which stands for First, Outer, Inner, Last.
First: Multiply the first terms of each binomial together: x * x = x^2
Outer: Multiply the outer terms of each binomial together: x * b = bx
Inner: Multiply the inner terms of each binomial together: a * x = ax
Last: Multiply the last terms of each binomial together: a * b = ab
Now we add up all of these products:
x^2 + bx + ax + ab
We can simplify this by combining the bx and ax terms:
x^2 + (a+b)x + ab
So the product of (x+a) and (x+b) is x^2 + (a+b)x + ab.
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Community Answer
What is the product of (x + a) and (x + b)?a)x2 + (a – b) x + ab...
Product of (x+a) ×(x+b)
(x+a)(x+b)
=>x^2+xb+xa+ab
=>x^2+(a+b)+ab (Ans).
So, right answer will be option D.
(x+a)(x+b)
=>x^2+xb+xa+ab
=>x^2+(a+b)+ab (Ans).
So, right answer will be option D.
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What is the product of (x + a) and (x + b)?a)x2 + (a – b) x + abb)x2 – (a + b) x + abc)x2 + (a + b) x – abd)x2 + (a + b) x + ab.Correct answer is option 'A'. Can you explain this answer?
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