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Algebraic Identity: (a - b)(a + b) = a^2 - b^2

Question 2iUs...

Question

Question 2(i)
Use the identity $(x + a) (x + b) = x^{2} + (a + b) x + a b$ to find the following products:
(x+3)(x+7)

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Solution

$(x + 3) (x + 7) = (x)^{2} + (3 + 7) x + 3 \times 7$
$= x^{2} + 10 x + 21$ $[U s i n g i d e n t i t y (x + a) (x + b) = x^{2} + (a + b) x + a b]$

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Similar questions

(x + a) (x + b) = x^{2} + (a + b) x + a b

(x + 3) (x + 7)

(x + a) (x + b) = x^{2} + (a + b) x + a b

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Question 2(iv)
Use the identity $(x + a) (x + b) = x^{2} + (a + b) x + a b$ to find the following products:
$(4 x + 5) (4 x - 1)$

(x + a) (x + b) = x^{2} + (a + b) x + a b

(x + 3) (x + 7)

(4 x + 5) (4 x + 1)

(x + a) (x + b) = x^{2} + (a + b) x + a b

(x - 3) (x - 4)

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