Expanding And Factorising Test 1

The given expression is 7(2x-5). To simplify this expression, we distribute the 7 to both terms inside the parentheses, resulting in 14x-35. Therefore, the correct answer is 14x-35.

To expand the expression 2x(x - 9), you can use the distributive property. Multiply 2x by each term inside the parentheses: 2x(x - 9) = 2x * x - 2x * 9

Now, perform the multiplications: 2x^2 - 18x So, the expanded form of 2x(x - 9) is 2x^2 - 18x.

The given expression is -6x(x+2). To simplify this expression, we need to distribute the -6x to both terms inside the parentheses. This gives us -6x times x, which is -6x², and -6x times 2, which is -12x. Therefore, the simplified expression is -6x²-12.

The given expression, 12kx + 21k, can be factorized by taking out the common factor of 3k from both terms. This results in 3k(4x + 7), which is the simplified form of the expression.

The given expression, 12x+4, can be factorized by taking out the common factor of 4. When we factor out 4 from both terms, we get 4(3x+1). This means that 4 is a common factor of both 12x and 4, and when we divide both terms by 4, we are left with 3x+1 inside the parentheses. Therefore, the correct factorization of 12x+4 is 4(3x+1).

The given expression can be factorized by taking out the common factor of 6ab from both terms. This leaves us with 1-3a inside the parentheses. Therefore, the correct factorization is 6ab(1-3a).