$$\(\quad(x+a)^{2}=x^{2}+22 x+b\)$$ Find the value of $$\(a\)$$ and the value of $$\(b\)$$. $$\[ \begin{gathered} a= ........................\\ b=........................ \end{gathered} \]$$

Mathematics
IGCSE&ALevel
CAIE
Exam No:0580_m21_qp_42 Year:2021 Question No:9(c)

Answer:

\([a=] 11\)
\([b=] 121\)

Knowledge points:

E2.2.1 Manipulate directed numbers.
E2.2.2 Use brackets and extract common factors.
E2.2.3 Expand products of algebraic expressions. (e.g. expand (x + 4)(x – 7)) (Includes products of more than two brackets, e.g. (x + 4)(x – 7)(2x + 1))
E2.2.4.1 ax+bx+kay+kby
E2.2.4.2 more contents
E2.2.4.3 more contents
E2.2.4.4 more contents

Solution:

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