Math, asked by kindness6691, 2 months ago

Solve the following by expanding brackets 16 multply 110

Answers

Answered by aalisoha43
0

Answer:

Expanding brackets

and simplifying expressions

A LEVEL LINKS

Scheme of work: 1a. Algebraic expressions – basic algebraic manipulation, indices and surds

Key points

• When you expand one set of brackets you must multiply everything inside the bracket by

what is outside.

• When you expand two linear expressions, each with two terms of the form ax + b, where

a ≠ 0 and b ≠ 0, you create four terms. Two of these can usually be simplified by collecting

like terms.

Examples

Example 1 Expand 4(3x − 2)

4(3x − 2) = 12x − 8 Multiply everything inside the bracket

by the 4 outside the bracket

Example 2 Expand and simplify 3(x + 5) − 4(2x + 3)

3(x + 5) − 4(2x + 3)

= 3x + 15 − 8x – 12

= 3 − 5x

1 Expand each set of brackets

separately by multiplying (x + 5) by

3 and (2x + 3) by −4

2 Simplify by collecting like terms:

3x − 8x = −5x and 15 − 12 = 3

Example 3 Expand and simplify (x + 3)(x + 2)

(x + 3)(x + 2)

= x(x + 2) + 3(x + 2)

= x2 + 2x + 3x + 6

= x2 + 5x + 6

1 Expand the brackets by multiplying

(x + 2) by x and (x + 2) by 3

2 Simplify by collecting like terms:

2x + 3x = 5x

Example 4 Expand and simplify (x − 5)(2x + 3)

(x − 5)(2x + 3)

= x(2x + 3) − 5(2x + 3)

= 2x2 + 3x − 10x − 15

= 2x2 − 7x − 15

1 Expand the brackets by multiplying

(2x + 3) by x and (2x + 3) by −5

2 Simplify by collecting

Step-by-step explanation:

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