What is the answer with work to this math problem?

the math problem is





21hsquared+72h-48 and i need to factor it i need all the work too please help!!!!What is the answer with work to this math problem?
21h虏 + 72h - 48 = 3(7h虏 + 24h - 16)


........................ = 3(h + 4)(7h - 4)What is the answer with work to this math problem?
21h^2 + 72h - 48


First factor out the GCF


3(7h^2 + 24h - 16)








Next you can factor by grouping:





Step 1.) Multiply the first term by the third term to get 112h^2





Step 2.) Find two numbers whose product is 112h^2 and whose sum is 24h





This involves some trial and error





They turn out to be 28h and -4h





Step 3.) Group 28h with the first term and the -4h with the third term.





(7x^2 + 28x) + (-4x - 16)





Step 4.) Factor out the GCF from each group





7h(h + 4) - 4(h + 4)





Step 5.) Simplifiy





3(7h - 4)((h + 4) = 0





h = -4, 4/7

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