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Find the product of (x+5) (x+11) by using identity​


pls tell me fast

User FYre
by
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2 Answers

2 votes

Hello!

Answer:


\Large \boxed{\sf x^2 + 16x + 55}

Explanation:

We have this identity:


\sf (x+a)(x+c) = ab+ax+bx+x^2

For our equation:


\sf a = 5\\b = 11

Let's simplify our expression:


\sf (x+5)(x+11) \\\\= 5(11) + 5(x) + 11(x) + x^2\\\\= 55 + 5x + 11x + x^2 \\\\\boxed{\sf = x^2 + 16x + 55}

User Pablolmedorado
by
9.0k points
6 votes

Answer:

  • x² + 16x + 55

Explanation:

To Find :

  • The product of (x + 5) (x + 11) by using identity.

Identity used :

(x + a) (x + b) = x² + x(a + b) + ab

Here,

  • a = 5
  • b = 11

Solution :

(x + 5) (x + 11) = x² + x(a + b) + ab

= x² + x (5 + 11) + 5 × 11

= x² + x (16) + 55

= x² + 16x + 55

Henceforth the product of (x + 5) (x + 11) is x² + 16x + 55

User Anubhav C
by
8.2k points

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