What is expand (x+7)((x+Δx)+7) ?

The solution to expand (x+7)((x+Δx)+7) is x^2+Δx^2+14x+7Δx+49

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expand (x+7)((x+Δx)+7)

expand

(x + 7) ((x + Δ x) + 7)

x^{2} + Δ x^{2} + 14 x + 7Δ x + 49

Solution steps

(x + 7) ((x + Δ x) + 7)

Apply FOIL method:

(a + b) (c + d) = a c + a d + b c + b d

a = x, b = 7, c = (x + Δ x), d = 7

= x (x + Δ x) + x \cdot 7 + 7 (x + Δ x) + 7 \cdot 7

= x (x + Δ x) + 7 x + 7 (x + Δ x) + 7 \cdot 7

Simplify

x (x + Δ x) + 7 x + 7 (x + Δ x) + 7 \cdot 7 : x^{2} + Δ x^{2} + 14 x + 7Δ x + 49

= x^{2} + Δ x^{2} + 14 x + 7Δ x + 49

\frac{( - 5 x + 55 ) ( 11 - x )}{2}

\frac{1}{( s + 10 ) ( s ^{2} + 4 s + 10 )}

(3 + 2 i) \cdot [6 + 3 i, 0 + 0 i, 5 + 1 i, 4]

lo g_{8} (27)

\frac{s + 2}{( s + 1 ) ( s + 3 )}

What is expand (x+7)((x+Δx)+7) ?
The solution to expand (x+7)((x+Δx)+7) is x^2+Δx^2+14x+7Δx+49