QuestionMultiply and simplify: $5x(5x+2) + 4(5x+2)$ .

Studdy Solution

STEP 1

Assumptions1. The given expression is $5x(5x+)+4(5x+)$ . We need to simplify the expression by performing the operations in the correct order, following the BIDMAS/BODMAS rule (Brackets, Indices/Orders, Division and Multiplication (from left to right), Addition and Subtraction (from left to right)).

STEP 2

First, we need to distribute the multiplication inside the brackets for both terms.
$5x(5x+2) =5x \times5x +5x \times2$ $4(5x+2) =4 \times5x +4 \times2$

STEP 3

Now, perform the multiplication operations.
$5x \times5x +5x \times2 =25x^2 +10x$ $\times5x + \times2 =20x +8$

STEP 4

Combine the two expressions from the previous step.
$25x^2 +10x +20x +8$

STEP 5

Combine like terms.
$25x^2 + (10x +20x) +8 =25x^2 +30x +8$ The simplified expression is $25x^2 +30x +8$ .

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