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Activity Discussion Math Simplify: 4z + 5(z – 3) – 2z

• # Simplify: 4z + 5(z – 3) – 2z

Posted by on July 8, 2024 at 10:11 am

Simplify: 4z + 5(z – 3) – 2z

replied 3 days, 14 hours ago 2 Members · 1 Reply
• ### brajesh

Member
July 12, 2024 at 12:37 pm
0

To simplify the expression <math xmlns=”http://www.w3.org/1998/Math/MathML”><semantics><mrow><mn>4</mn><mi>z</mi><mo>+</mo><mn>5</mn><mo stretchy=”false”>(</mo><mi>z</mi><mo>âˆ’</mo><mn>3</mn><mo stretchy=”false”>)</mo><mo>âˆ’</mo><mn>2</mn><mi>z</mi></mrow><annotation encoding=”application/x-tex”>4z + 5(z – 3) – 2z</annotation></semantics>[/itex]4z+5(zâˆ’3)âˆ’2z, follow these steps:

1. Distribute the <math xmlns=”http://www.w3.org/1998/Math/MathML”><semantics><mrow><mn>5</mn></mrow><annotation encoding=”application/x-tex”>5</annotation></semantics>[/itex]5 across the terms inside the parentheses:

<math xmlns=”http://www.w3.org/1998/Math/MathML” display=”block”><semantics><mrow><mn>4</mn><mi>z</mi><mo>+</mo><mn>5</mn><mo stretchy=”false”>(</mo><mi>z</mi><mo>âˆ’</mo><mn>3</mn><mo stretchy=”false”>)</mo><mo>âˆ’</mo><mn>2</mn><mi>z</mi><mo>=</mo><mn>4</mn><mi>z</mi><mo>+</mo><mn>5</mn><mi>z</mi><mo>âˆ’</mo><mn>15</mn><mo>âˆ’</mo><mn>2</mn><mi>z</mi></mrow><annotation encoding=”application/x-tex”>4z + 5(z – 3) – 2z = 4z + 5z – 15 – 2z</annotation></semantics>[/itex]4z+5(zâˆ’3)âˆ’2z=4z+5zâˆ’15âˆ’2z

2. Combine the like terms:

<math xmlns=”http://www.w3.org/1998/Math/MathML” display=”block”><semantics><mrow><mo stretchy=”false”>(</mo><mn>4</mn><mi>z</mi><mo>+</mo><mn>5</mn><mi>z</mi><mo>âˆ’</mo><mn>2</mn><mi>z</mi><mo stretchy=”false”>)</mo><mo>âˆ’</mo><mn>15</mn></mrow><annotation encoding=”application/x-tex”>(4z + 5z – 2z) – 15</annotation></semantics>[/itex](4z+5zâˆ’2z)âˆ’15

Add the <math xmlns=”http://www.w3.org/1998/Math/MathML”><semantics><mrow><mi>z</mi></mrow><annotation encoding=”application/x-tex”>z</annotation></semantics>[/itex]z terms together:

<math xmlns=”http://www.w3.org/1998/Math/MathML” display=”block”><semantics><mrow><mn>4</mn><mi>z</mi><mo>+</mo><mn>5</mn><mi>z</mi><mo>âˆ’</mo><mn>2</mn><mi>z</mi><mo>=</mo><mn>7</mn><mi>z</mi></mrow><annotation encoding=”application/x-tex”>4z + 5z – 2z = 7z</annotation></semantics>[/itex]4z+5zâˆ’2z=7z

3. Finally, write the simplified expression:

<math xmlns=”http://www.w3.org/1998/Math/MathML” display=”block”><semantics><mrow><mn>7</mn><mi>z</mi><mo>âˆ’</mo><mn>15</mn></mrow><annotation encoding=”application/x-tex”>7z – 15</annotation></semantics>[/itex]7zâˆ’15

So, the simplified form of the expression is <math xmlns=”http://www.w3.org/1998/Math/MathML”><semantics><mrow><mn>7</mn><mi>z</mi><mo>âˆ’</mo><mn>15</mn></mrow><annotation encoding=”application/x-tex”>7z – 15</annotation></semantics>[/itex]7zâˆ’15.

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