Question

factorise 3 - 8(2x - y) + 4(2x - y)^2​

Answer 1

Answer:

♦ ( 4x - 2y - 1 ) ( 4x - 2y - 3 )

Step-by-step explanation:

This question is from the topic "factorisation", which means which is a process of writing an expression in the form of terms which are multiplied together.

Let's factorize the given trinomial...

Let 2x - y = a

Rewriting the given expression again, we have:

• 3 - 8a + 4a²

Taking the coefficient of a² in front,

• 4a² - 8a + 3

As the trinomial is in the form ax² + bx + c, so we will split 8 the coefficient of a into two parts such that the sum of these two parts is equal to 8 and the product of these two parts is equal to product of of 4 and 3.

4a² - 2a - 6a + 3

Now, factorize by grouping method, we get:

• 2a( 2a - 1 ) - 3 ( 2a + 1 )
• ( 2a - 1 ) ( 2a - 3 )

Now, substituting the value of a, we have:

• ( 2(2x - y) - 1 ) ( 2(2x - y) - 3 )
• ( 4x - 2y - 1 ) ( 4x - 2y - 3 )

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