Sure, here are the steps to factorise the given expression:

1. Write down the expression: 7y^2 + 40y + 57

2. Look for two numbers that multiply to give 7*57 (which is 399) and add up to 40. The numbers are 19 and 21.

3. Rewrite the middle term of the expression as the sum of the terms 19y and 21y: 7y^2 + 19y + 21y + 57

4. Factor by grouping: 7y(y + 3) + 19(y + 3)

5. Notice that (y + 3) is a common factor. Factor it out to get the final answer: (7y + 19)(y + 3)

So, 7y^2 + 40y + 57 = (7y + 19)(y + 3)

Question

Sure, here are the steps to factorise the given expression:

1. Write down the expression: 7y^2 + 40y + 57

2. Look for two numbers that multiply to give 7*57 (which is 399) and add up to 40. The numbers are 19 and 21.

3. Rewrite the middle term of the expression as the sum of the terms 19y and 21y: 7y^2 + 19y + 21y + 57

4. Factor by grouping: 7y(y + 3) + 19(y + 3)

5. Notice that (y + 3) is a common factor. Factor it out to get the final answer: (7y + 19)(y + 3)

So, 7y^2 + 40y + 57 = (7y + 19)(y + 3)

Knowee AI · Accepted Answer

Sure, here are the steps to factorise the given expression:

1. Write down the expression: 7y^2 + 40y + 57

2. Look for two numbers that multiply to give 7*57 (which is 399) and add up to 40. The numbers are 19 and 21.

3. Rewrite the middle term of the expression as the sum of the terms 19y and 21y: 7y^2 + 19y + 21y + 57

4. Factor by grouping: 7y(y + 3) + 19(y + 3)

5. Notice that (y + 3) is a common factor. Factor it out to get the final answer: (7y + 19)(y + 3)

So, 7y^2 + 40y + 57 = (7y + 19)(y + 3)

Factorise 7y2+40y+57 completely.