Question

5. Simplify and find the value if x = 3, a = - 1 and b = -2
a-b+b(ax+2)​

Answer 1

Answer:

a-b+b(ax+2)

=-1-(-2)+(-2){(-1)(3)+2}

=-1+2+(-2)(-3+2)

= 3+(-2)(-1)

=5

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Answer 2

Question

Simplify and find the value if

• x = 3
• a = - 1
• b = -2

a - b + b (ax + 2)

$\rule{300}{0.5}$

Step-by-step Solution

Step 1: Give the variables the values.

⇒ $a - b + b (ax + 2)$

⇒ $-1-(-2)+(-2)\times ((-1\times 3)+2)$

Step 2: Solve brackets.

⇒ $-1-(-2)+(-2)\times ((-1\times 3)+2)$

⇒ $-1-(-2)+(-2)\times ((- 3)+2)$

⇒ $-1-(-2)+(-2)\times (-1)$

Step 3: Do multiplication.

⇒ $-1-(-2)+(-2)\times (-1)$

⇒ $-1-(-2)+2$

Step 4: Use this integer law ⇒ $\sf -(-) = +$

⇒ $-1-(-2)+2$

⇒ $-1+2+2$

Step 5: Do addition.

⇒ $-1+2+2$

⇒ $-1+4$

⇒ $3$

∴ a - b + b (ax + 2) = 3 when x = 3, a = -1 and b = -2.

$\rule{300}{0.5}$

Additional Information

Algebra is a branch of mathematics in which letters/symbols are used to represent numbers/quantities in formulae and equations to help in problem-solving.

Alphabets in algebra represent variables. Variables have changing values.

Constants have fixed values and are represented in the form of numbers.